I can not find any admin actions in the logs. There's no admin connected in that timeframe, the external kick button has not been used and you were not kicked by the high ping kicker.
So far we know:
They are friends playing at LAN:
17/08/2012 03:03:50 dr . joined the game from 188.52.163.* with STEAM_ID_LAN
17/08/2012 03:03:38 dr * joined the game from 188.52.163.* with STEAM_ID_LAN
17/08/2012 03:01:19 dr Lopy joined the game from 188.52.163.* with STEAM_ID_LAN
You know how to reconnect too...
17/08/2012 03:08:48 dr $bling$ joined the game from 83.204.179.* with STEAM_0:1:19760187
17/08/2012 03:06:32 dr $bling$ joined the game from 83.204.179.* with STEAM_0:1:19760187
17/08/2012 03:04:14 dr $bling$ joined the game from 83.204.179.* with STEAM_0:1:19760187
but hey funny u changed ur name before taking demo/ss
17/08/2012 03:44:52 dr kizz joined the game from 83.204.179.* with STEAM_0:1:19760187
17/08/2012 03:44:27 dr kizz joined the game from 83.204.179.* with STEAM_0:1:19760187
17/08/2012 03:43:14 dr kizz joined the game from 83.204.179.* with STEAM_0:1:19760187
17/08/2012 03:41:35 dr kizz joined the game from 83.204.179.* with STEAM_0:1:19760187
17/08/2012 03:32:09 dr kizz joined the game from 83.204.179.* with STEAM_0:1:19760187
And now let's read the chat log:
02:05:18 <STEAM_0:1:19760187><83.204.179.*> $bling$ : learn to strafe lopy
02:05:23 <STEAM_0:1:19760187><83.204.179.*> $bling$ : stop using
02:05:27 <STEAM_0:1:19760187><83.204.179.*> $bling$ : ******* bind
02:05:29 <STEAM_0:1:19760187><83.204.179.*> $bling$ : free
02:07:02 <STEAM_0:1:19760187><83.204.179.*> $bling$ : retry more
02:07:03 <STEAM_0:1:19760187><83.204.179.*> $bling$ : kiddo
02:08:20 <STEAM_0:1:19760187><83.204.179.*> $bling$ :
02:09:27 <STEAM_0:1:19760187><83.204.179.*> $bling$ : kicked?
02:09:28 <STEAM_0:1:19760187><83.204.179.*> $bling$ : lol?
02:09:39 <STEAM_ID_LAN><188.52.163.*> Lopy : /admin
02:09:48 <STEAM_0:1:19760187><83.204.179.*> *DEAD*$bling$ : ur ****
02:10:28 <STEAM_ID_LAN><188.52.163.*> Lopy : wtF?
02:10:29 <STEAM_0:1:19760187><83.204.179.*> *DEAD*$bling$ : die nub
02:10:47 <STEAM_0:1:19760187><83.204.179.*> *DEAD*$bling$ : bad as hell
02:10:49 <STEAM_0:1:19760187><83.204.179.*> $bling$ : free
02:10:52 <STEAM_ID_LAN><188.52.163.*> Lopy :
02:12:01 <STEAM_0:0:718563411><41.228.180.*> *DEAD*EriC : lagging ..
02:12:12 <STEAM_0:1:19760187><83.204.179.*> $bling$ : lopy ******* retry
02:12:13 <STEAM_0:1:19760187><83.204.179.*> $bling$ : nub
02:12:33 <STEAM_0:0:718563411><41.228.180.*> EriC : lag
02:12:41 <STEAM_ID_LAN><188.52.163.*> *DEAD*Lopy : /admin
02:12:43 <STEAM_ID_LAN><188.52.163.*> *DEAD*Lopy : bling
02:12:52 <STEAM_ID_LAN><188.52.163.*> Lopy : bling **** ur ping
02:13:04 <STEAM_0:0:52924265><213.119.73.223> *DEAD*Paulinew0w~ : /server
02:13:04 <STEAM_0:1:19760187><83.204.179.*> *DEAD*$bling$ : want my choke too?
02:15:13 <STEAM_0:1:19760187><83.204.179.*> $bling$ : stop retry
02:15:14 <STEAM_0:1:19760187><83.204.179.*> $bling$ : kiddo
02:15:27 <STEAM_0:1:19760187><83.204.179.*> $bling$ : annoying kids
02:15:28 <STEAM_0:1:19760187><83.204.179.*> $bling$ : zzz
02:16:03 <STEAM_0:1:19760187><83.204.179.*> $bling$ : are you ******* stupid ?
02:16:06 <STEAM_0:1:19760187><83.204.179.*> $bling$ : I guess
02:16:17 <STEAM_0:1:19760187><83.204.179.*> $bling$ : olol
02:16:19 <STEAM_0:1:19760187><83.204.179.*> $bling$ : gl noobs
02:16:41 <STEAM_ID_LAN><188.52.163.*> Lopy : nom arctic
02:26:17 <STEAM_ID_LAN><188.52.163.*> Lopy : /knife
02:33:43 <STEAM_0:1:19760187><83.204.179.*> kizz : free run
02:34:11 <STEAM_0:1:19760187><83.204.179.*> kizz : knife
02:35:18 <STEAM_0:1:19760187><83.204.179.*> kizz : ...
02:35:20 <STEAM_0:1:19760187><83.204.179.*> kizz : again?
02:35:52 <STEAM_0:0:14920170><91.176.61.192> Trinity* : noobs
02:36:53 <STEAM_ID_LAN><105.141.64.*> SpOse : trail
02:37:37 <STEAM_ID_LAN><105.141.64.*> SpOse : trail
02:37:37 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : dont duck
02:37:39 <STEAM_ID_LAN><105.141.64.*> SpOse : trail
02:37:40 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : for strafes
02:39:04 <STEAM_0:0:718563411><41.228.180.*> *DEAD*EriC aka S-7 : free u noob
02:39:08 <STEAM_0:0:718563411><41.228.180.*> EriC aka S-7 : i will not make free anymore :@
02:40:51 <STEAM_0:1:19760187><83.204.179.*> kizz : oh ok ur friend
02:40:55 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : but ur still ****
02:41:08 <STEAM_ID_LAN><188.52.163.*> *DEAD** : trail green
02:41:16 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : rtv
02:41:20 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : rtv
02:41:22 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : rtv
02:41:23 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : rtv
02:41:24 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : rtv
02:41:25 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : rtv
02:41:26 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : rtv
02:41:27 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : rtv
02:41:28 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : rtv
02:41:30 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : rtv
02:41:37 <STEAM_ID_LAN><105.141.64.*> *DEAD*SpOse : rtv\
02:41:39 <STEAM_ID_LAN><105.141.64.*> *DEAD*SpOse : rtv
02:41:42 <STEAM_ID_LAN><105.141.64.*> *DEAD*SpOse : forest
02:43:32 <STEAM_0:1:19760187><83.204.179.*> kizz : rtv
02:43:58 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : lopy admin?
02:44:05 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : its u?
02:44:09 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : you kicked me?
02:44:12 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : ur bad
02:44:25 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : get skillz
02:45:07 <STEAM_0:1:19760187><83.204.179.*> *DEAD*kizz : so funny
02:46:17 <STEAM_0:1:19760187><83.204.179.*> kizz : recorded thanks
02:46:24 <STEAM_0:1:19760187><83.204.179.*> kizz : cya on forums
So what do you want exactly?