Mighty cad-skills ;)
Quick & dirty way to test if current-fuse is ok: measure some voltage by connecting leads to A and V connectors. If voltage is ok, then fuse has to be ok. If you can’t see anything, fuse is gone.
Fuse on my mooshimeter says “reomax 632.300 12A”. James had those on his webstore at some point (can’t find it now), but you should be able to buy similar fuse locally, but you have to be sure that you buy fuse that is meant for multimeter. You don’t want to blow up your eyes and your multimeter with cheap ones..