AQs UTG V SB 3BET POT Turn All-In

Hi,

Poker Stars, $0.01/$0.02 No Limit Hold'em Cash, 6 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

SB: $2.34 (117 bb) (VPIP:30.00;PFR:15.00;TOT3BET:1.00(89);Hands:227)
BB: $2.25 (112.5 bb)
Hero (UTG): $2 (100 bb)
MP: $2.37 (118.5 bb)
CO: $3.39 (169.5 bb)
BTN: $2.24 (112 bb)

Preflop: Hero is UTG with A Q
Hero raises to $0.06, 3 folds, SB raises to $0.20, BB folds, Hero calls $0.14

Flop: ($0.42) 3 Q 8 (2 players)
SB checks, Hero checks

Turn: ($0.42) 8 (2 players)
SB bets $2.14, Hero calls $1.80 and is all-in

River: ($4.02) 8 (2 players, 1 is all-in)

PreFlop - I OR AQs in UTG. SB 3Bets 1 Pot. I call.

Flop - SB checks. I check as well as I see no point in betting.
Turn - SB bets All-In. His tot3bet so far is 1 in 89 cases (in a small sample). It is probably variance however, the huge gap between vpip and pfr is an evidence that he cold calls too much and 3bets too little so, I think his real tot3bet is actually less than 7 and so then, he shouldn't have bluffs in it. So, I think his range can be JJ+,AQs+,AKo. I believe he is checking both flop and turn JJ, AQs, AKs and AKo, except for AhKh and QQ, which i would expect him to bet the flop and turn. So that, the result is that his range is KK+ in my opinion. In conclusion I need 81.1% equity to call that I don't have but the truth is that I don't know what his actual range is.

Would you have call on the turn?; Do you think I made an error?; What do you think about my reasoning?

Thanks