Review for a 15-ish K (11-16 between diferent servers) vs 13 K

Someone help me to review this game: … I think i could kill the top right corner, but I wonder how…

You mean after move 22? I very much doubt there is any chance for a clean kill. You could have reclaimed the corner with a double hane (left you a variation), but the exchange would hardly be considered good for black.

One stone is not enough to completely claim a corner (apart from a 3-3 I guess), nevertheless white’s result is not something to be rejoiced over - ended with a 3 point corner.