Yes. Whether or not you pay the civil demand, the law in your state still gives them the right/power to call the police and file criminal charges. (They don't need to go to the bother of suing you - they can just call for the cops to arrest you. Much simpler and cheaper for them. So you probably don't have to worry about being sued.) Just because the LP officer says they won't, doesn't mean they don't have the right.
But the flip side is, just because they have the right, doesn't mean they will.
You're going to have to take your chances either way. You set this all in motion by stealing. Now you just have to wait for it all to play out.
I trust you have told your parents about this so that they can call a lawyer? And set things in motion so that you can gradually pay them back for the cost they're going to have to shell out because of your thievery?

