Preflop with Jacks

[Bobbrt1329]

I have JJ in ep at a full NL($100) table. MP I have no real read on, so he's at least not terrible. LP is a fool throwing his money away. Everyone not mentioned folded preflop.

Stacks:
Hero: $98
MP: $40
LP: $35

Hero: Raise to $4
MP: Call
LP: Raise to $12
Hero: Raise to $20
MP: All in for $40
LP: Call
Hero: Call

Normally I don't put in a third raise with jacks, but I wanted to isolate LP since he didn't have much of a chip stack and was bound to be holding an inferior hand. When MP made his ridiculous donk/reraise play, I figured I was dead, but was getting over 4:1 so I called.

Reasonable play here?

[shaodeee]

i would've just pushed lp in after he raised $12. but calling mp's all in is fine.