So I managed to catch a game of yours. Overall I think you are playing well but there are a few things to work on. I sorta did a play by play breakdown as I was watching, trying to make notes before things happened but some things are sorta hindsight simply cause I wanted to go back and make sure about what I saw. If you have the replay, you might want to watch it while reading this since I tried to get the closest time stamp so you could go back and learn.
http://matchhistory.na.leagueoflegends.com/en/#match-details/NA1/2415441306/229146752?tab=overview
03:03 First Gragas gank, you would've been better flashing to avoid his body slam rather than flashing afterwards. You survive though but have to recall way too early to really get any good items. Ahri also blows Flash and Ignite to try and kill you, so right now you have the upper hand summoner spell wise.
04:10 You placed a ward on the top side of your river, which spotted out Gragas at 04:30 and someone even pinged danger there. However, you then kept pushing up in lane without your flash knowing he was probably top side. Should've been obvious that you might get ganked again. It would've been better to give the 2 or 3 CS and play safer. The minion wave would've pushed to you anyway so it wouldn't have been bad to stay back.
06:30 Not sure why you roamed bot when Ahri was bot when you could've gotten some damage on her tower. Nothing really resulted from it and Ahri was spotted really early so your bot lane should've been safe. Ahri also spends a ton of time down there so if you had been hitting her tower, you might've been able to take the first tower blood gold.
08:00 Your Warwick wasn't playing well this game. 3 people are bot lane trying to take bot tower (they get it too) as he is soloing dragon. He shouldn't have been doing it to begin with since so many were bot side, and he definitely should've stopped after hearing the announcement that the tower was taken.
09:30 Your Warwick walking under tower when Ahri is right there was really nothing you could do. You might've been able to shield him to save him, but he should've backed off way earlier once Ahri shows.
11:00 Good job backing off when Gragas showed on the ward top side of river. Someone pinged danger but it's good that you respected the ping.
11:18 During the Soraka gank, I would've waited to flash or flash sideways. You got hit by a max range charm which is sorta unlucky, but turning back in trying to do some damage wasn't the best idea with how low you got. I would've just let Warwick fight that. He wasn't making the best decisions earlier so I wouldn't risk trying to help him in my opinion, which appears to be what you were trying to do.
12:18 Your Braum this game is worrying me. He's always low health before a fight starts and dies almost instantly before really doing anything. Plus he's really aggressive for no reason I feel.
13:30 Again, Braum is too far foward. Good job getting the kill on Jinx but I would've just left after that since Braum was definitely dead anyway.
13:30 You are Warwick are chasing a low health Ahri. Put your ball on Warwick and use your W to speed him up. You probably would've caught Ahri.
13:50 Still chasing Ahri when Soraka appears. Turn on Soraka! She's literally running after you and Warwick.
13:55 Soraka flashes in front of you. Just hit her or at least ping her so maybe Warwick turns. He's so tunneled on Ahri he's not seeing the obvious kill. Eventually Twitch kills Ahri but you get so low from that chase. Honestly you should've just left cause Soraka could've finished you off if you weren't careful, and you had no mana so you couldn't even offer Twitch a shield or anything to help him kill Soraka. Eventually a Jinx Ult gets you.
15:10 Braum is being aggressive for no reason again, and taken extremely low from it.
16:04 Braum has 400 hp, this is not the time to be doing Dragon.
16:10 Beautiful job hiding your ball in the bush to get that ultimate on Soraka and Jinx. If your team had reacted in time that was an easy two kills except they were too busy trying to do drag, which got them all low health so you all lose that teamfight that immediately follows. It might've been better if you had ulted a second or so earlier. Since your ult pulls people toward the ball, you sorta pulled them away from your team. Maybe ping next time so your team reacts faster. This is more of a nitpick though, it was still a great ult.
18:50 Shield Twitch for assists. Otherwise you did a good job staying close by incase they needed you while staying away from danger since you are low health.
19:50 1v4 Braum again. This guy is stressing me out watching this since he's so far forward and so low health.
20:22 Good job using Braum as a distraction for a multi man ultimate. After that though, just let it go. Warwick went way too deep for that considering you had just used your whole combo and there was no one else to do damage.
21:42 Soraka is literally beside you. Just hit her. You have a lot of multi people ultimates, which is great, but you're also ignoring a lot of people who are poorly positioned. So many times this game Soraka is literally walking into melee range of your team and you're busy trying to finish off the low health target. Even if you don't kill her, just poke her for being that far forward.
22:10 Beautiful 5 man ult, but it's a 3v5. I don't know if I would've done that considering that your team is at a disadvantage and neither Twitch or Teemo is close enough to do anything afterwards.
23:53 Over aggressive Braum again. It actually works for you this time. During the chase afterwards, you could put your ball on Braum who was in front and then use your W to speed up your whole team.
24:10 Good job focusing Jinx. She's the important one and she's isolated and an easy kill.
24:25 You trapped Soraka under her bot tower and yet none of you went to push the bot wave into tower. You even started proxying the next wave instead of just finishing off the 3 minions holding your huge wave from crashing in. If I was Soraka, I would've recalled and forced you guys to dive to keep me there. Luckily Gragas suicides in trying to save her I suspect (beautiful shield to keep Warwick alive and Braum healthy later), but he gets you all so low that Jinx gets an easy kill because of it. Luckily you guys get the tower but that could've been so much worse than a tower for Warwick.
26:00 Over aggressive Braum again. Luckily your teammates were closer this time, but honestly I'd stop following Braum into fights if I were you.
26:50 Warwick and Teemo trying to defend a tower 2v5. Tell them just to give it instead of dying and still losing it. Again, it was Warwick who died who wasn't making the best decisions this game.
27:55 At this point, after Twitch gets a triple kill, I would start hanging around Twitch and helping him since he's doing a decent job this game. Your ult plus his ult is a killer anyway so if you hold it until he's around you'd have a really easy game.
28:28 I like the decision to get the mid inhib tower, but I probably would've gone with Twitch since he's playing better this game. Luckily you ger the tower and get out alive but you still lose Braum and Warwick for it.
30:00 You guys are so split this fight. Braum and Warwick want to go in and yet you and Teemo are trying to peel off. I would've pinged or something to help indicate your thoughts on this fight instead of moving back and forward so indecisively.
30:30 Good focus on the solo Soraka, but the calls afterwards just confuse me. Your team kills Soraka, Jinx, and Kled and instead of taking the FREE MID INHIB, your team chases the two kills bot lane and then proceeds to try and take the bot lane tier two instead of going mid and getting the FREE MID INHIB. Not even a single ping on the mid inhib. You get the tower and then immediately try to go on the Soraka who came to defend, which was really greedy considering their entire team is respawning. It eventually hurts you cause they basically Ace your team and get Baron for it.
33:00 3v3 fight vs a baron'd up team. Braum goes in which worries me still. Good focus on Soraka. Your Braum keeps trying to kill the tanks but you did a good job focusing the right target. You guys eventually win off that fight.