F707 Problem w/EVF and LCD screen
From your description, it sounds like what I've seen described by other people when something has come loose inside-- maybe a cable. If you do a search, I know there are posts where [crazy] people have pried open the guts of their cameras and have written out a step-by-step tutorial on what's in there. If you didn't feel comfy going that route, you might be able to send it to Sony for repair.
My vote, if the camera works okay otherwise, would be to just live with it.
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