This is another "Wot's his Range" question

$0.05/$0.10 No Limit Holdem
PokerStars
5 Players
Hand Conversion Powered by weaktight.com

Stacks:
UTG ($5.58) 56bb
CO ($10.72) 107bb
BTN ($12.02) 120bb
DoubleJ (SB) ($10.05) 101bb
BB ($12.69) 127bb - VPIP:17, PFR:13, 3B:0, AF:1.7, Hands:23

Pre-Flop: ($0.15, 5 players) DoubleJ is SB
3 folds, DoubleJ raises to $0.30, BB calls $0.20

Villain is tight has folded BB to 3 of 4 steals; he defended the other by calling. He may have me pegged as a serial stealer.

Because I am.

i 3x and he calls. Can i put him on {22+,A3s+,K7s+,Q9s+,J9s+,T9s,98s,87s,76s,65s,A8o+, K9o+,Q9o+,J9o+,T9o}? What would he 3Bet here?

Flop: ($0.60, 2 players)
DoubleJ bets $0.40, BB calls $0.40

I flop TP and bet. He calls again. My cBet% is ~75 (not sure what this was on the day though), but i'd-a thought that with a board this draw-y, he be raising big PPs, TPs and Trips. Yes? No?

Turn: ($1.40, 2 players)
DoubleJ bets $0.90, BB calls $0.90

..and now it's even more draw-y

River: ($3.20, 2 players)
DoubleJ bets $3, BB raises to $10.24, DoubleJ calls $5.45

My TP now boats-up, i bet to get value from 22-JJ and 6x, and he shoves over. I need to be good 27+% of the time and am losing to only Tx and QQ+ so i call.

Your thoughts on his range for each street, please