Hand Against Bicyclekick

[Schneids]

3-handed 30/60.

We're both here cuz of an extremely awful player. Like, amazingly bad.

Button limps. BK completes from SB, I check with Jc6c.

Flop: Kc Qc 6h.
BK bets, I raise, button folds, BK calls.

Turn: 2d.
BK checks, I bet, BK calls.

River: 2s.
BK bets, I raise...


Like or no?

P.S. BK just joined a few minutes ago when it was 4-handed and so we really have no "prior history" to speak of.