My question involves criminal law for the state of: New York

I recently got caught shoplifting at Nordstrom Rack. There were no police involved, and the situation was handled by their loss prevention officers. The items I took added up to approximately 100$ and I was told the fine I will be receiving in the mail would be 4x the amount of what I stole.

Should I ignore these notices to pay? Will they really follow up to sue me?

Please help!