hell ShadowLady thats why they invented mud flaps so your doors don't stoned to death
best way to fix that is get yourself some longstrand fiberglass pre-mix from ole crappy tire i see that they don't offer the pre-mixed fiberglass with long strand, the kit can do you
also need a grinder with 24 grit disk and sander with 80 80,120, grits for primer and 400 wet paper for color match paint to complete repair
SAFETY:goggles, gloves and dust mask
grind the hole edges (1 inch back) to bare metal with grinder then get fiberglass mat if used that kit and cut mat to fit over hole and bare metal or if got the pre-mixed stull just add harder to can and stir then apply to hole and shape it so less sanding then let fiberglass set after sand with 80 sander then prime with primer paint then 120 then prime let dry between and one coat of your color then let dry then 400 wet paper then finish coat