On my 97 F150/Lariat/4X4/5.4/Auto....

My Door Mirror switches "Raise, Lower and side to the left all work good. But the Move to the right don't work.
I'd remove and check those switches to start with.
How do I get the Switch panel out of the door without wrecking things?

 

It probably just pulls out with a putty knife, but I would take the entire panel off if you are afraid of breaking it.

 

If you're not already solved this issue do you have a photo of the control panel mounted on the door? I might be able to suggest a way to remove it without damage.

Franklin's suggestion about the putty knife is good, the only "trick" being where to insert it under the mirror control in order to pop it out damage free.