Mylar is commonly used in many decal-cutting shops and comes with a variety of adhesives, ranging to permanent enough to withstand repeated cycles in an autoclave (for labels on surgical instruments). (I used to make such). If I had a small tear in the mylar panel, I'd get some with strong adhesive and patch that bit, probably patching it both front and back. All you need is to eliminate the give in the panel that lets the wires slap the magnetic panel. Mylar comes in some very, very thin varieties. It's very strong and hard to tear and a piece with good permanent adhesive front and back of your tear ought to make a patch that'd last for years.