Diagnose one at a time. If fixing one fixes the other, then you'll know they were the same problem. But you can't diag 2 at once, and I doubt these are related.
Pull the R/W wire off the temp sender, ground it to the engine, and turn the key to RUN. If the needle moves, replace the sender.
If not, pull the cluster and polish the contacts on the film circuit and the connector terminals with brown paper or a pink eraser. Plug it back in & try again. If it still doesn't move, unplug it and test each ground & power wire using the wiring diagrams in the back of Haynes. Try to find an OLD edition since the current one has deleted a lot of info.