JJ - get it in on the flop?

[KingsTown]

MP is unknown.

1. Do we get it in on the flop here?
2. Does calling and open-pushing a blank turn make any sense?

Poker Stars - No Limit Hold'em Cash Game - $2/$4
Blinds - 6 Players - (LegoPoker Hand History Converter)

SB: $184.80
BB: $397.60
Hero (UTG): $400.00
MP: $400.00
CO: $90.00
BTN: $696.00

Preflop: Hero is dealt J[img]/images/graemlins/diamond.gif[/img] J[img]/images/graemlins/spade.gif[/img] (6 Players)
<font color="red">Hero raises to $16.00</font>, <font color="red">MP raises to $56.00</font>, 4 folds, Hero calls $40.00

Flop: ($118) 4[img]/images/graemlins/spade.gif[/img] 3[img]/images/graemlins/spade.gif[/img] 5[img]/images/graemlins/spade.gif[/img] (2 Players)
Hero checks, <font color="red">MP bets $100.00</font> Hero?