I have a similar problem with Firefox Portable 48 (from PortableApps.com).
I'm currently running Nod32 9.0.386.0 on Windows 7 SP1 64-bit, Home Premium edition.
When I visit Amazon sites, the images and css don't load, making the sites unusable. (Today, it even started happening on yahoo.com as well)
When I open the browser console, I see the following errors:
I can't update my addons in Portable Firefox (whether manually or automatically):
The yahoo/amazon problems don't occur with Google Chrome Portable or with non portable Firefox 48. Non portable Firefox can also update its addons without error.
My SSL/TLS settings are the default ones. In the list of SSL/TLS filtered applications, Firefox Portable, Chrome Portable & non portable Firefox are set to "Auto".
When I set Portable Firefox to Ignore in the list of SSL/TLS filtered applications, all aforementioned problems disappear.
On another computer (Windows 7 SP1 64-bit, Home Premium edition) running Nod32 7.0.325.1, Firefox Portable doesn't have any problem.