As you have given permission for them to be posted, these are the chatlogs from your punished account that lead to a chat restriction being issued on 3/28/2016
Game 1:
[2:21] TeabagMASTER (Zed) : stupid bug splat
[8:00] [All] TeabagMASTER (Zed) : ***
[8:21] TeabagMASTER (Zed): gg on that mia
[10:10] [All] TeabagMASTER (Zed): bullshit
[10:43] [All] TeabagMASTER (Zed): bullshit + bullshit
[10:51] [All] TeabagMASTER (Zed): script more
[11:29] [All] TeabagMASTER (Zed): calling a scripter out isn't salt
[11:34] [All] TeabagMASTER (Zed): it's just what they are doing
[12:03] [All] TeabagMASTER (Zed): he dodged as i was hitting my ult twice now. that is a script
[12:22] [All] TeabagMASTER (Zed): ahhh he has esp
[12:57] [All] TeabagMASTER (Zed): ah so you can see my keyboard with your experience with fizz?
[13:00] [All] TeabagMASTER (Zed): nope
[13:06] [All] TeabagMASTER (Zed): once maybe but everytime nope
[13:24] [All] TeabagMASTER (Zed): however fizz script reads that shit and will do it everytime
[13:34] [All] TeabagMASTER (Zed): there isn't anything to read as im pressing the button
[13:47] [All] TeabagMASTER (Zed): keyboard works on up stroke
[14:08] [All] TeabagMASTER (Zed): scripts are funny like that
[14:20] [All] TeabagMASTER (Zed): it's k ill report the video riot can decide
[18:40] TeabagMASTER (Zed): love teams in solo que
[19:39] [All] TeabagMASTER (Zed): team more in soloque pls
[20:43] [All] TeabagMASTER (Zed): you are on a team you have the same club names
[20:44] [All] TeabagMASTER (Zed): lol
[20:56] [All] TeabagMASTER (Zed): 3 of you do
[21:19] [All] TeabagMASTER (Zed): scripts and clubs = gg
[22:18] [All] TeabagMASTER (Zed): at least im noob who's solo in solo que
[22:29] [All] TeabagMASTER (Zed): i don't need 3 people on skype
[22:33] [All] TeabagMASTER (Zed): scripting
[23:00] [All] TeabagMASTER (Zed): the lies
[24:19] [All] TeabagMASTER (Zed): you started with a team of people
[25:39] [All] TeabagMASTER (Zed): team up in solo que more
[27:03] TeabagMASTER (Zed): she'll kill me
[27:22] [All] TeabagMASTER (Zed): killed two of you
[27:40] TeabagMASTER (Zed): i did
[27:52] TeabagMASTER (Zed): i killed fizz and the other softy
[28:02] TeabagMASTER (Zed): yes i did
[28:04] TeabagMASTER (Zed): i ulted fizz
[29:30] TeabagMASTER (Zed): see she one shots me
[29:56] [All] TeabagMASTER (Zed): mechaincs vs scripting
[30:11] TeabagMASTER (Zed): wtf are you talking about i went after k.
[30:36] [All] TeabagMASTER (Zed): no just fizz
[31:14] [All] TeabagMASTER (Zed): see again. way before i let go of my key
[31:26] [All] TeabagMASTER (Zed): prediction script too strong
[34:20] TeabagMASTER (Zed): i was on fizz
[34:21] TeabagMASTER (Zed): stfu
[34:33] TeabagMASTER (Zed): i ulted fizz
[34:34] TeabagMASTER (Zed): lol
[37:58] TeabagMASTER (Zed): finish
[38:25] TeabagMASTER (Zed): fizz up
[38:27] TeabagMASTER (Zed): get top or bot
[40:09] TeabagMASTER (Zed): ill die
Game 2:
[1:53] [All] TeabagMASTER (Nautilus): stop
[3:03] TeabagMASTER (Nautilus): why attack the support?
[5:36] TeabagMASTER (Nautilus): that's how i feel too
[6:18] TeabagMASTER (Nautilus): you only have the longest range in the game
[6:40] TeabagMASTER (Nautilus): lol
[7:23] TeabagMASTER (Nautilus): nope
[7:25] TeabagMASTER (Nautilus): look it up
[7:53] TeabagMASTER (Nautilus): she did until jhin was made
[8:31] TeabagMASTER (Nautilus): it's your abilities not autos...
[8:35] [All] TeabagMASTER (Nautilus): this guy understand nothing
[8:54] [All] TeabagMASTER (Nautilus): it even says in the fucking champ spotlight jihn has longest range of all adc
[9:00] [All] TeabagMASTER (Nautilus): watch it again
[11:51] [All] TeabagMASTER (Nautilus): lol this guy
[11:59] [All] TeabagMASTER (Nautilus): anytime he dies it will be my fault
[12:29] [All] TeabagMASTER (Nautilus): you don't have the range to kill her man
[14:29] TeabagMASTER (Nautilus): if you had the range you could have gotten her
[17:19] TeabagMASTER (Nautilus): it happens
[20:34] TeabagMASTER (Nautilus): why didn't you all go bot with me
[20:38] TeabagMASTER (Nautilus): that would have been 2 towers
[27:59] TeabagMASTER (Nautilus): Kha'Zix
[28:06] TeabagMASTER (Nautilus): because no one cares
[28:23] TeabagMASTER (Nautilus): we lost this game ages ago
[30:37] TeabagMASTER (Nautilus): that ks
[30:42] [All] TeabagMASTER (Nautilus): that ks
[32:10] TeabagMASTER (Nautilus): the whole team is top lane why isn't a bot tower down?
[37:49] TeabagMASTER (Nautilus): you know they hqve items to deaql with his items
[38:55] TeabagMASTER (Nautilus): you need to learn items better
[39:05] TeabagMASTER (Nautilus): hahaha
[39:08] TeabagMASTER (Nautilus): nah
[39:12] TeabagMASTER (Nautilus): im not the baddie here
[39:24] TeabagMASTER (Nautilus): you have no items to deal with them at all
In regards to the screenshot you posted, it appears in that chatlog shows other players responding to you, that seems to be odd as chatlogs that we send to players regarding their punishments only show that they have said in their games.
Looking into the past chat restrictions on both accounts, you seem to quickly resort to accusing anyone on the other team who outplays you of cheating and you quickly launch into verbally abusing team members if they play poorly.