6 max limit read

What hands to do put these guys on? All are loose/passive. Out of 192 hands the BB has raised 3% of the time.
PokerStars 0.50/1.00 Hold'em (6 handed) FTR converter on zerodivide.cx

Preflop: Hero is UTG with J, Q.
3 folds, Button calls, SB completes, BB raises, Button calls, SB calls.

Flop: (6 SB) Q, 5, 8 (3 players)
SB checks, BB checks, Button bets, SB calls, BB raises, Button calls, SB calls.

Turn: (6 BB) A (3 players)
SB checks, BB (thinks for a long time)checks, Button checks.

River: (6 BB) 9 (3 players)
SB checks, BB bets, Button raises, SB folds, BB 3-bets, Button caps, BB calls.

Final Pot: 14 BB

How often does the Button open limp?

I'm going to go with AA/QQ for bb, JTs, 88 or 55 for the button

BB looks like he has aces for sure.

SB maybe a middle pair 66, 77 or 99 (though he did fold the river so we won't know) or ugly big cards like KJ or QT.

[edit, thought the SB bet the flop.. but it was the button]

Button appears to have JT or 67 for the rivered straight (if he isn't too passive to not bet a draw on the flop).

I would say AA for the BB and TJ for the button.

Nice reads. The BB did have AA and the button had 67. I remember thinking when the BB thought for so long that they must have AA. That and the fact that they tried for the double check-raise. I was sad to see them leave two hands later...