On Fx 3.6.28, I saw them in the NoScript Menu (hover or click on the NoScript icon in the top or bottom bar, as applicable). I temporarily allowed them, but the screen was just black. So I believe they chose simply not to code for the older Firefox any longer.
Would I have to add these links to the whitelist?
On the new browser, it would be your choice whether to permanently whitelist them or to use Temporarily Allow each time you visit.
Presumably, as a PlayStation user, you trust their own site.
If you want to be fancy about the other two script sources, you could use
ABE to restrict their permissions to this site only, or to any other sites where they're truly needed.
Note that whitelisting
http://playstationna.i.lithium.com is much more restrictive (hence safer) than merely whitelisting
lithium.com, because the latter allows the entire lithium.com universe, versus just the playstation subdomain of it.
I dislike Fx 4 as well which is why I reinstalled 3.6.28. If I run Fx 15 from a USB drive while still having 3.6.28 installed on my computer, will I be able to use No Script for Fx 15 as well?
I've been running portables alongside native installs for years. Sometimes simultaneously, e. g., to diagnose issues just like yours. The portable Firefox to which I linked has its own self-contained profile, so there is no conflict with the installs on your hard drive. You can choose which add-ons (certainly NoScript!

) to add to that profile, which will be independent from the F3 profile.
The portable will detect plug-ins installed on your HD, such as Flash and Java, and will use those.
I just tested Flash by simultaneously playing two different YouTube videos, one on each browser (portable, native).
The sound was interesting

, but they both played without problem.
I use Java only rarely, and at only one site. Based on the Flash test, it might work, although it's much more complex than Flash. But it's hard to picture needing it simultaneously at two different sites.
Note that all of the above applies to using your thumb-drive portable on a friend's machine: Your Fx Portable is completely independent of the host machine, even if your friend uses only IE.

However, the friend would need compatible installs of Flash, Java, etc. if you needed those plug-ins while using that machine.