Button just joined table in BB and won a pot, so no read. I was confused by the small bets on the later streets in this hand.

How is my c-bet size here?
Am I correct calling down, or should I be folding or raising?

Thanks

Ignition - $0.50 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

Hero (UTG): 99 BB
MP: 26.68 BB (VPIP: 100.00, PFR: 50.00, 3Bet Preflop: -, Hands: 2)
CO: 54.5 BB (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 2)
BTN: 55.12 BB (VPIP: 50.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 2)
SB: 83.06 BB (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: -, Hands: 2)
BB: 97.5 BB (VPIP: 50.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 2)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has A A

Hero raises to 4 BB, fold, fold, BTN calls 4 BB, fold, fold

Flop: (9.5 BB, 2 players) Q T 6
Hero bets 5 BB, BTN calls 5 BB

Turn: (19.5 BB, 2 players) 3
Hero checks, BTN bets 5 BB, Hero calls 5 BB

River: (29.5 BB, 2 players) Q
Hero checks, BTN bets 8 BB, Hero calls 8 BB

bet the turn vs passive ppl

Bigger flop and bet turn vs the half stack.

Pot size bets on flop and turn, check fold to a river jam, vs this size call it off

Bet turn and bet it big, set up for the river shove (not on a queen though lol).

Bet bet bet. Bigger on flop. EZ game.