Well, the issue is really that in order to carry a game where a lane is destroyed, you have to actually carry - you can't just go even in your lane then sigh while your bot lane is obliterated, especially if you're playing a champion who gets outscaled. Normally how you can carry by winning top is through either drawing so much pressure top that the rest of the map is a 4v2, or by roaming and crushing their jungler, midlane, or even their bot lane (usually via teleport). If you just went even, there's not a lot you can do besides stall and hope the enemy team throws massively while the people who fed super hard try to catch up.
In this particular game, just going off match history/stats so I could be completely off, it looks like after giving up two unanswered kills in a level 1 fight, you came out to an early lead, then you team was obliterated in the first dragon fight, giving up a 1 for 4 plus dragon, then it looks like you died to Lee and gave up a turret while other lanes died simultaneously, and a succession of deaths/lost turrets and lost dragons with the odd answered kill here or there. Dying to Lee looks like a costly mistake, and you need to recognize that you made a blunder there, and you also probably contributed to the lost teamfight that was a complete disaster. Remember that before the teamfight, you were in theory the strongest person on your team, so you should have had the most ability to influence its outcome. Losing the teamfight is primarily your fault if anyone's, so figure out what you could have done better there, even if the answer to that question is 'not contest dragon'. From how it looks, it seems like the only person getting focused down each time was Brand while the enemy team had four people who were glass cannon and needed to all be trapped in Ahri/Fiddle/Voli overlapped AE, which wasn't happening. In particular, their Caitlyn looks like she was never seriously threatened while basically having no peel on her team, while all your carries were destroyed.
You probably should have built locket over spirit visage if you're going full tank - you died last, but it looks like you didn't really accomplish all that much for your team by doing so, since you neither lowered damage they took with locket nor provided any meaningful threat to enemy carries. It looks like you had roughly as much impact as the support Volibear in teamfights, which probably shouldn't happen. Admittedly he fed like a buffet, but you should probably be bringing more to the team.
It's worth mentioning that your lane opponent had almost double your CS, which usually isn't something you want to have happen if you can help it. Losing in CS isn't always a bad thing if it means you had pressure elsewhere or were donating farm to other people, but getting dominated that completely in CS usually means you lost lane pretty hard.
You should also consider buying a pink ward at some point, especially when you have a fiddlesticks on your team and having him choosing a spot to ult from is pretty much critical to your team winning. Your team had 1 unupgraded sweeper and 0 pink wards bought the entire game, while the enemy team had 2 sightstones. That's pretty bad. You do deserve credit for being the only player on your team to ever buy a ward, but it was only a green, and you still tied for the lowest number of wards placed in the game. The enemy Caitlyn bought a pink, so an ADC outperformed you as far as vision control goes.