I half agree with the limp. There's no reason not to think you have a shot at the best hand with only the blinds left.

No reason to fold to a minraise once you had limped, especially with that read (which also makes limping more correct, since you know that about one of the blinds).

One possible alternative would be to raise preflop. Gets you a better pot if you hit, and should provide a bit of info about your opp's hands.

Regarding the post flop: I like the reraise. Calling provides no information, and you're going to be faced with the same decision when a bigger bet comes on the turn.