How would you handle this typical situation?

[StellarWind]

Tiny pots similar to the following constructed problem occur in virtually every online session. We rarely discuss them which is unfortunate because correct play is not obvious.

Assume you are playing 6-max somewhere in the 3/6 to 10/20 range.

Cutoff limps first in. Cutoff is 45/12. Postflop he plays in a fairly straightforward manner and is neither good nor awful. Like most normal 6-max players he takes some shots at unattended pots.

The Button folds and Hero completes the 1/2 small blind with ??.

BB checks. BB is a typical 26/17 regular who knows you reasonably well. He tries to play well and quite often manages to do so but he's not a superstar.

Flop (3 players, 3SB): A [img]/images/graemlins/spade.gif[/img] 8 [img]/images/graemlins/diamond.gif[/img] 3 [img]/images/graemlins/diamond.gif[/img]

It's your turn. What is your plan with:

a) A [img]/images/graemlins/club.gif[/img] 3 [img]/images/graemlins/club.gif[/img]

b) A [img]/images/graemlins/club.gif[/img] 4 [img]/images/graemlins/heart.gif[/img]

c) T [img]/images/graemlins/spade.gif[/img] 8 [img]/images/graemlins/spade.gif[/img]

d) 2 [img]/images/graemlins/diamond.gif[/img] 2 [img]/images/graemlins/heart.gif[/img]

e) J [img]/images/graemlins/spade.gif[/img] 9 [img]/images/graemlins/spade.gif[/img]

f) J [img]/images/graemlins/club.gif[/img] 6 [img]/images/graemlins/heart.gif[/img]

Show your work. Answers without reasons don't help anyone.