Magical protection on a character such as from protection from evil or resist fire are not granted to items the saving character has in their possession. If the character save is failed, all items check normally. Of course, the rule about plusses for magic items and items defending against their own “mode” still apply.

To determine what kind of fire an item must save against, refer to this chart:¹⁾

Similar to saving throw classes not necessarily always being used for precisely that thing (e.g. saves vs petrification being used for things besides petrification), the use of one of the above saving throw classes does not mean that the cause of that save is actually that thing. For example, molten lava is not actually magical, it merely uses that saving throw class.