If I were you, I would use your posted evidence above for when claiming a ban appeal (if you get the ban from the person who reported you). Please, do not post this on the forums because this would generate some flames.
For your information, lag is normal on this game and it would be fixed unless dedicated servers are assigned for the game which it won't happen. The game is designed to be played as Peer-to-Peer topology. If someone complains to you that you lag, ignore them because that person won't be the first one nor the last one to complain. Good luck and hope you understood my point