My noob play with QQ at live 1/2 NL

[skitzo444]

Mostly play limit but sat down with $150 at a 1/2 NL table.

3 hands in I get red Queens and raise to the standard PFR of $15. man to my left calls. Heads up. Flop K73 Rainbow.

I bet 30 but what would you do with an overcard to your PP on that board.

He calls

Turn (X) Check, check.
River (A) Check, Check

He says "I think we have the same hand..."

tables AK.

Should I have shutdown with that K on the board?