54s hand

[betgo]

Paradise $30 MTT, 18 of 186 players remaining. Blinds 600/1200/75. I am in 5th place with T19K. 3rd position with T6K limps. 3rd position had played aggressively earlier. Folded to me in SB. BB has T4K after posting. Should I push or complete?

I complete, BB checks. Flop is 875 with a 2-flush none of my suit, giving me 3rd pair and a gutshot which may not be good. Push, bet, or check?

I checked the flop. I think I should have pushed. BB checks. Button pushes. Should I call?