continue to push?

[djr]

7 Card Stud High-Low ($0.5/$1), Ante $0.25 (hand converter)

3rd Street

Seat 1: xx xx 6[img]/images/graemlins/heart.gif[/img]___folds
Seat 2: xx xx 7[img]/images/graemlins/diamond.gif[/img]___calls___calls
Seat 3: xx xx 7[img]/images/graemlins/club.gif[/img]___calls___folds
Seat 5: xx xx 2[img]/images/graemlins/club.gif[/img]___bets___calls___calls
Hero: 5[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/club.gif[/img]___calls___raises___calls
Seat 7: xx xx J[img]/images/graemlins/spade.gif[/img]___raises___raises
Seat 8: xx xx J[img]/images/graemlins/club.gif[/img]___folds

4th Street

Seat 2: xx xx 7[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/club.gif[/img]___calls
Seat 5: xx xx 2[img]/images/graemlins/club.gif[/img] 3[img]/images/graemlins/heart.gif[/img]___calls
Hero: 5[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/club.gif[/img] 5[img]/images/graemlins/diamond.gif[/img]___bets
Seat 7: xx xx J[img]/images/graemlins/spade.gif[/img] 4[img]/images/graemlins/diamond.gif[/img]___calls

5th Street

Seat 2: xx xx 7[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/club.gif[/img] Q[img]/images/graemlins/diamond.gif[/img]___calls___calls
Seat 5: xx xx 2[img]/images/graemlins/club.gif[/img] 3[img]/images/graemlins/heart.gif[/img] T[img]/images/graemlins/heart.gif[/img]___calls___folds
Hero: 5[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/club.gif[/img] 5[img]/images/graemlins/diamond.gif[/img] T[img]/images/graemlins/diamond.gif[/img]___raises___calls
Seat 7: xx xx J[img]/images/graemlins/spade.gif[/img] 4[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/spade.gif[/img]___bets___raises

6th Street

Seat 2: xx xx 7[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/club.gif[/img] Q[img]/images/graemlins/diamond.gif[/img] 2[img]/images/graemlins/heart.gif[/img]___calls
Hero: 5[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/club.gif[/img] 5[img]/images/graemlins/diamond.gif[/img] T[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/heart.gif[/img]___calls
Seat 7: xx xx J[img]/images/graemlins/spade.gif[/img] 4[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/spade.gif[/img] 3[img]/images/graemlins/diamond.gif[/img]___bets

River

Seat 2: xx xx 7[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/club.gif[/img] Q[img]/images/graemlins/diamond.gif[/img] 2[img]/images/graemlins/heart.gif[/img] xx___checks___calls
Hero: 5[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/club.gif[/img] 5[img]/images/graemlins/diamond.gif[/img] T[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/heart.gif[/img] A[img]/images/graemlins/heart.gif[/img]___bets
Seat 7: xx xx J[img]/images/graemlins/spade.gif[/img] 4[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/spade.gif[/img] 3[img]/images/graemlins/diamond.gif[/img] xx___checks___calls

While playing this I was worried that villian could have a boat. I figured him for at least one hidden jack and that left two 4's and another Jack unaccounted for (until 6th when I hit a 4).
Looking at the hand now, I see his 4th street call probably indicates he doesn't yet have two pair/trips. Would you have pushed 5th/6th street with aces up and live outs to a boat? What about 3rd street?