Yes, you have to use all 3 of your FP before getting a new one. If you park hop, you have to travel to the new park and then get a FP. For example, I use my 3 FP at Animal Kingdom, and I want to park hop to Epcot. I can only get my 4th FP for Epcot when I get to Epcot. This is one of the down sides of the new system.