Personally, i have never used avast, though, if it does some firewall, i might have blocked ur program from going to internet if it accesses internet..
otherwise, i don't see how those three program might affect your computer...
avasti might think that the program is a malicous code and disable function to that program. you will have those problems with AntiViruses and expensive programs (because it is a rare program that most people won't use) sometimes. Most programs that expensive will work with Norton A/V however, and I never recommend norton as it is a resource hog, but that may be your solution