2003 Audi A4 re: Heavy rain - Ignition Coil - Car Won't sta

Hi - Hoping someone can help - We had some eavy rain last night, and this morning my car wouldn't start. It seems like I have plenty of battery, but when I go to start it, it just clicks, and the lights go out. Someone said it could be the coils are wet, but I have no idea how to fix this problem. Could someone help? Also - the radiator can keeps turning on and off.

Thanks!