NL2, Zoom FR, set on flop

This hand came out form a Zoom NL2 FR.

I think my flop min-raise was giving out too much info. 3x size raise or just call might be better. The turn was an auto-play, I guess. Also, check/min-raise is a classical fish move with a monster, even though the villain failed to read it here. I tried slow-play the turn, and it worked.

Poker Stars $0.01/$0.02 No Limit Hold'em - 9 players
DeucesCracked Poker Videos Hand History Converter

BTN: $4.80
SB: $1.50
BB: $2.22
Hero (): $4.60
UTG+1: $2.10
MP1: $2.02
MP2: $2.00
MP3: $1.99
CO: $3.48

Pre Flop: ($0.03) Hero is with 7♠ 7♣
Hero calls $0.02, 1 fold, MP1 calls $0.02, 3 folds, BTN raises to $0.06, 2 folds, Hero calls $0.04, MP1 calls $0.04

I limped from early with mid pairs, and BTN opened 3bb, which is a normal size open for anyone with more than 2BI stack (usually has some idea how to play this micro-zoom) and I could not get the hand range of him yet. Limp/call by another MP1 indicates that he has some value hand.

Flop: ($0.21) 3♥ J♦ 7♥ (3 players)
Hero checks, MP1 bets $0.04, BTN raises to $0.12, Hero raises to $0.20, MP1 calls $0.16, BTN calls $0.08

This is a good board. Probably I have the nuts at this moment, but a flush draw could be an issue. J-pair or over cards would pay me good. So I checked and MP1 bets, BTN raises small. I doubt anyone has a J-set, and do a min-raise, thinking of folding to a all-in re-raise (J-set in most cases). Both called, so I failed to reduce the field.

Turn: ($0.81) J♥ (3 players)
Hero checks, MP1 bets $0.44, BTN folds, Hero raises to $2.10, MP1 calls $1.32 all in

This is the ideal card for me. It made both possible J-set or flush. I doubt there was a J7x or J3x. I check, MP1 value bet again, BTN folds. I'm sure he would call with any two-pair and up, so raise.

River: ($4.33) 4♠ (2 players - 1 is all in)

Final Pot: $4.33
Hero shows 7s 7c (a full house, Sevens full of Jacks)
MP1 shows Th Qh (a flush, Queen high)
Hero wins $4.18
(Rake: $0.15)

MP1 had Queen high flush. I have no idea why he called the raise in turn, but I see it so often. If I had a set or weaker flush made, I would have just called. I think he missed that I min-raised from oop earlier.