Z0cK3r

Hero (BB): 4,374 (21.9 bb)
SB: 4,626 (23.1 bb)

Preflop: Hero is BB with 6h 6d
SB raises to 4,601 and is all-in, Hero calls 4,149 and is all-in

Flop: (8,748) Ac Qh 8s (2 players, 2 are all-in)
Turn: (8,748) 9h (2 players, 2 are all-in)
River: (8,748) 3h (2 players, 2 are all-in)

Results: 8,748 pot
Final Board: Ac Qh 8s 9h 3h
Hero showed 6h 6d and lost (-4,374 net)
SB showed 8c Ks and won 8,748 (4,374 net)

So this was the last Hand in a 6 Max SnG.
Since the HU started, my Opponent shoved almost every Hand he was dealed.
I was not sure about the Pocket 6. But i thought if he has two Overcards and he wont hit then i win.
Now my Question, was the All-In the right move and if not, why?

SB: $1.87 (93.5 bb)
BB: $2 (100 bb)
UTG+2: $2 (100 bb)
MP1: $2 (100 bb)
Hero (MP2): $2.78 (139 bb)
MP3: $1.58 (79 bb)
CO: $1.72 (86 bb)
BTN: $1.82 (91 bb)

Preflop: Hero is MP2 with Ad Qd
2 folds, Hero raises to $0.08, MP3 folds, CO calls $0.08, 3 folds

Flop: ($0.19) Th 4s 8c (2 players)
Hero checks, CO checks

Turn: ($0.19) Qc (2 players)
Hero bets $0.11, CO raises to $0.51, Hero folds

I only have a 16 Hands Sample of my Opponent. He has 44% Vpip and 19% Pfr (33%Vpip from the CO).

On the Flop i decided to check and see what my Opponent is doing? He would call my CBet almost with any two cards anyways.
On the Turn i improved to TPTK and i took the initiative with a small Valuebet (its like 56% the Potsize).
Then he raised me to almost 4x my bet.
Because he played so loose, i thought he could have a lot of crappy two pairs including a Queen... He could also just made a straight with J9...

Let me know what i did wrong on this hand.

Seat 1: Player1 ( $1.69 USD ) - VPIP: 30, PFR: 5, 3B: 0, AF: 0,7, Hands: 40
Seat 2: Player2 ( $2.06 USD )
Seat 3: Player3 ( $2.74 USD )
Seat 4: Player4 ( $3.14 USD ) - VPIP: 29, PFR: 25, 3B: 14, AF: 7,0, Hands: 112
Seat 5: Player5 ( $3.05 USD )
Seat 6: Hero on the Button ( $1.97 USD ) - VPIP: 19, PFR: 14, 3B: 6, AF: 2,7, Hands: 9709
Seat 7: Player7 ( $1.98 USD )
Seat 8: Player8 ( $4.48 USD )
Seat 9: Player9 ( $1.78 USD )
Player7 posts small blind [$0.01 USD].
Player8 posts big blind [$0.02 USD].
* Dealing down cards *
Dealt to Hero [ Ad Td ]
Player9 folds
Player1 raises [$0.04 USD]
Player2 folds
Player3 folds
Player4 raises [$0.18 USD]
Player5 folds
Hero calls [$0.18 USD]
Player7 folds
Player8 folds
Player1 folds
* Dealing Flop * [ Kh, Jc, 9d ]
Player4 checks
Hero checks
* Dealing Turn * [ 6d ]
Player4 bets [$0.26 USD]
Hero raises [$1.79 USD]
Player4 calls [$1.53 USD]
* Dealing River * [ 5s ]
Player4 shows [Jh, Js ]
Hero shows [Ad, Td ]
Player4 wins $3.87 USD from main pot

So i played against a pretty loose Opponent. Given his wide 3Betting Range, and me having Position on him, is there ever a way where i should have 4Bettet him Preflop?
On the Flop he Checks, signalizing me he didn't hit the Flop. In my mind, he would have made a CBet if he just hit a little piece of the flop. (Given his incredible high 3Bet%, it was a real possibility that he didnt have a J or K...) I check back and the Turn brings the 4th Diamond and i hit the Nutflush draw. With the 4 remaining Queens for the straight i had overall 11 Outs (Discounting the Jack of Diamonds, which would have me beat.)
After his bet on the turn, i knew he could have sth like AK, KQ, KJ, AJ or even JT slowplayed, or tried to check-raise me on the Flop.
At this point i could easily representate a QTs for the Nutstraight, which he has to have in his mind. With a shove on the Turn i would took down the Pot immediatelly, since he can not call with One Pair (Which i had him on).

did i played a solide line or would you have done anything else?