Bottom two on the flop ($5,5 NLHE)

$5,5 no-limit holdem. I limp along after one other MP limper with 65s also in MP. The button calls and so do both blinds. Pot=$25. The flop comes K65 double suited. The action is checked to me. I bet $25. Button and SB fold, BB raises to $100 and MP folds.

I have about $1000 in front of me and BB has me covered. BB is a tight and very solid player. He frequently bets the flop when he is in a hand. This is the first time that I have seen him check-raise. I am not sure what he thinks of me. I have been at the table for a couple of hours but I have seen very few flops and only one showdown. I am also the shortest stack.

I re-raise to $250. BB thinks, asks me to count down my stack then calls.

The third flush card comes on the turn and BB bets enough to put me in. This is a clear fold, yes? What about my play on the flop and before? All comments appreciated.