Yes they will, with purchase.
Yes they do validate your parking for purchases over $20
Yes
I think so.
You get 3 hours of parking when you make a $20 minimum purchase and receive validation from any Downtown Disneylocation (including quick-service restaurants, merchandise locations and kiosks)—or up to 5 hours of parking with validation from anyDowntown Disney table-service restaurant or AMC Theatres movie experience.
In my experience they did.
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