Woolworth on Fifth

You would need to park in a parking garage or get lucky and find street parking. The main library has a parking garage for $5 last time I parked there

As far as I can tell, everything goes.

Yes

Yes.

There is valet

Yes! If I remember, pie, cobbler, coffee, etc

It is about half a block away just past Puckett's grocery

You can walk in first come first serve, when I went. It might be different for different events I don't know.

Starts at 5 pm unless there's an event going on that blocks the street.

At busy times they require reservations for the restaurant side but there lunch counter is always walk up, first come, first served. Make sure to check out the beautiful night club in the lower floor with art deco/ mid-century modern furnishings and original tiles and floors. Also the gorgeous antique bar on the 2nd floor! The whole place is amazing!!