I really hate getting reraised with JJ, and you're also OOP in this hand.
Jagsti's range for a TAG (seems that's what villain is) looks to be right to me. Although what Chuck says about our image is important to determine our next move, even if we've been LAG I'm not sure against this type of opponent I'd be willing to take chances and throw in a 4bet.
4-betting here doesn't look like a sound choice. In order to be effective we would need to pop it to 25/30 and this route doesn't make much sense if we're planning to fold to a shove because anyone of those hands in Jagsti's range would likely do so, including AK which we are ahead of. Also, it seems a huge price to pay for simple info. So, if the idea is to fold to a shove then we shouldn't 4bet cause there is a very high chance that happens even from the hand(s) we beat PF.
That leaves it to either call or fold. I don't think any of these 2 is terrible but I'd fold vs a TAG, because if you miss the flop you know a c-bet is coming even on a rag flop with no overcards and you'll face a tough decision, and leading out on such a flop has us in the dark if he flat calls. If you're up against AA, KK or QQ and you hit a set you'll likely get all his chips and stacks are deep enough I think even to just try this for set value so the call isn't terrible, although I realize it sounds absurd to play JJ for set value.
This is a really tough spot, and arguments can be made for going in just about any direction. The one that I'm fully opposed to is the 4bet, I just don't like it, but anything else either than that I believe is acceptable. It's very hard to determine which way is the best.