Hallo, well here is an explanation:
1st case:
28:06 (All) A votekick against player [T3^_0] has passed.
28:06 (All) T3^_0 was kicked by vote.
As you can see, here is everything pretty clear. You have been kicked out from the game by other users, so this case has nothing to do with your internet or other disconnection problems.
2nd case:
38:32 (All) T3^_0 has lost the connection (timed out) but is using GProxy++ and may reconnect.
38:53 (All) T3^_0 lagged out (dropped by vote), T3^_0 was autobanned.
38:53 (All) Autoban is ON, if you leave you will get autobanned.
In this case connection to warcraft 3 has been lost. So it's either that you have lost whole connection to Internet, or maybe some program has closed your connection to warcraft and gproxy, so you were unavailable to reconnect back.
I hope that you've got your answers now.
Sincerely,
Angel