If your opponent has connection troubles, their tournament is ruined either way. No problems if your conscience prevents you from taking a win there but the proper way to satisfy a Messiah complex is resigning to compensate them for their misfortune.
we just made some draws because I think @sawko was having connection problems during the game
However, this sounds like someone who feels they have been caught with their hand in the cookie jar. To start with, you did not "make some draws", your account had one single draw by agreement in the tourney. Secondly, it happened on the second move with no thinking time spent (yeah, lags are compensated but it is hard to see where your story comes from unless there is some evidence).
I do not think that your actions qualify as cheating. If someone else does, they can elaborate on my points.