Help me with standard situation

[pavement]

Sorry, converter messed up...did it myself

Hand #4730965 at Revere (No Limit Hold'em)
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Started at 09/Mar/05

A is at seat 0 with $52.15.
B is at seat 1 with $77.60.
C is at seat 2 with $47.
D is at seat 3 with $21.30.
E is at seat 6 with $26.25.
F is at seat 7 with $36.40 (sitting out).
G is at seat 8 with $24.25.
H is at seat 9 with $46.60.
The button is at seat 6.

G posts the small blind of $.25.
H posts the big blind of $.50.

Pre-flop:

A folds. B calls. C folds.
D folds. E folds. G
calls. H checks.

Flop (board: Ac Jc 2d):

G checks. H checks. B
bets $.50. G calls. H calls.

Turn (board: Ac Jc 2d 6h):

G checks. H checks. B
bets $3. G folds. H calls.

River (board: Ac Jc 2d 6h Ah):

H checks. B bets $6.50. H
raises to $13. B goes all-in for $73.60.
H goes all-in for $42.60. B is
returned $31 (uncalled).

Showdown:

B shows Jd Jh.
B has Jd Jh Ac Jc Ah: full house, jacks full of aces.
H shows Ad Ts.
H has Ad Ts Ac Jc Ah: three aces.

Hand #4730965 Summary:

$3 is raked from a pot of $94.20.
B wins $91.20 with full house, jacks full of aces.
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Okay, this situation happened at a table I was at. I have no read b/c I just showed up but player B has a decent stack...not sure from what amount he built it from though. My question is how should players B and H play this hand? Player H should of raised on the flop because he had an ace and the bet smelled like a flush draw? Player B should of bet more b/c of flush and straight draws? Should player H drop it on the turn b/c of the pot bet? When he hits trips, should he just call the bet b/c of the paired board or raise like he did? He should of laid down afer the all-in, I guess?

I'm a relative newcomer and I see stacks lost like this a lot. I am afraid I would of lost my stack here too...was this inevitable or could Player H have played it differently? How? I hear all the time about players seeing monsters but at these stakes (.25./.50 and .50/1.00) there is so much bluffing that some times, I almost think Player H had to call. Thanks.