Villain is unknown and had just joined the table the hand before with a double stack. So no idea how they got it

Ok. So preflop and flop seem completely standard.

OnGame's Room No-Limit Hold'em, $0.50 BB (10 handed) by Hand Converter CG

saw flop
UTG ($52.05)
UTG+1 ($49.50)
Hero ($61.15)
MP1 ($34.00)
MP2 ($48.95)
MP3 ($46.50)
CO ($49.25)
Button ($48.75)
SB ($100.50)
BB ($46.45)

Preflop: Hero is UTG+2 with Q, A.
2 folds, Hero raises to $2, 3 folds, CO calls $2, 1 fold, SB calls $1.75, 1 fold.

Flop: ($6.50) J, Q, Q (3 players)
SB checks, Hero bets $5, CO folds, SB calls $5.

Turn: ($16.50) K (2 players)
SB checks, [color=#CC3333]Hero ?

The king is obviously not the best card. Should i be betting here? Or is it better to check behind to control pot size?

Well anyway i decided to bet and SB called.

Turn: ($16.50) K (2 players)
SB checks, Hero bets $10, SB calls $10.

River: ($36.50) 7 (2 players)
SB bets $83.5 (All-In), Hero is confused

They then shoved river.
Is this a call or a fold? We don't really beat much but their line is really strange and i really want to call

I think I call. JJ is a definite possibility and AK/KQ is all that beats us. Assuming Ak repops that is eliminated, plus he wouldnt float the flop if he is playing it cheaply by cold calling. Should be a bluff I would think a higher percent than usual based on the board context and I think we chop a fair amount too with QJ. <1010 shows up enough that 2-1 is positive ev imo

Sorry Post is Kind of confusing because i posted the turn twice.

The Board on the river is:

JQQK7

So obviously were not splitting with QJ here

I fold on the river. I think villain's most likely holdings here are 9T, QJ, KQ, JJ, AQ, QT. You're chopping with AQ, beating QT, and losing to everything else. AQ is very unlikely given your hole cards, and QT seems to be a bit of a stretch to me. So, I feel like you're way behind his betting range on the river.