Yes, first one is like GATE opening - but immediately we need a very small icon - not really a logo. This is for using as favicon which appears in the browser tabs like the below one for facebook.
The current favicon is good but its taken from some site and so not ours :)
Also logo should have something unique - like the door in the first pic and "G" and "O" written which can mean both GO through GATE as well as GATE Overflow :)