FIRSTLY. I flat called to set mine my hand vs a deep stack who maybe squeezing with relatively poor hand, with potential to go multiway. 

Question 1). Is this a spot i should lead? Consequently if i Lead for 45-70% and he raises, can i call with deep stacks?

Question 2). What hands would my opponent bet if i check?

Question 3). What do i do on: Heart turns; A, T, 9; ("value") K, Q, J; <9


To address question 1. I would think Leading would be a possible option, however achieving a fold is detrimental to the rest of the hand seen as he folds all his bluffs, calls his draws IP, and can raise for value, therefore would be bad as i want my opponents range to be as wide as possible to justify me even continuing my hand. Such that i am value betting versus a weaker range rather than value owning myself on chk chkk flops, turn & river.  

Alternatives: Checking.
Checking means that opponents will bluff with any hand that missed the board as well as value bet his made hands and draws. If he checks, i can confidently bet most turns and rivers for value, charging flush draws & two pairs. 

Alternative: Check raising small 

Check raising represents a very strong range that will achieve possible folds from T9 and weak flush draws, or will on the turn. Realisticly, he won't fold any strong f-draws, AT, or T9 enough to make the check raise small worth it. 

Alternative: Check raising large
Same, as c/r small, may achieve more folds from f-draws and possiblly T9. 

Conclusion. check-calling is the best option. 

Turn cards and actions:
The turn card was actually a 9h. 

I should fold any A, 9, or heart. and call a bet on any other card to re-evaluate the river.

Thoughts?