I have problems opening up certain web pages using the Mozilla Suite on an Apple Mac. It all started when I deleted all my cookies some time back, up to then all was well. I can get access through the security checks into some sites but that's as far as I can go. Tried removing mozilla suite and reinstalling but no luck. No problem with access using Firefox/ Safari etc.
try going into the user profiles and deleting the preference files for mozilla and/ or safari. this maked the program think it is being run for the first time ever. even if you deleted the mozilla suite the preferences may still be there and may stop the unauthorized secure sites.
hope this helps (it worked for me when ie stopped accesing any web page)
P.S. have only tried this on OSX 10.2 and above