Films can be a challenge especially as they get older. Some of the earlier films have adhesives that don't age well. Several tricks to try:
When trying to peel without heat try pulling straight up or back onto the film, either may work better.
When heating: If a quick warm over with the heat gun doesn't improve the removal try adding more. To much heat on the film as your pulling will weaken it and it will break off. To much heat can also set the adhesive causing it to release from the film and stay on the surface. Then you have a bigger project on your hands. Often a tough film will give up if you build heat carefully onto a small area of the panel, then give it a little dwell time so that the surface cools a bit but the substrate is warmer than the film. It then may release with a slow steady pull. Again, pulling at different angles may improve results.
If you having a tough time getting an edge to lift you can buy plastic razor blades at an auto parts store. They work great at working an edge without damaging the paint. Within reason, of course. Good luck!