is the museum open everyday?

Closed the first Tuesday of every month. Also closed on Independence Day, Thanksgiving, Christmas, and New Year's Day.

Yes

Yes, parking $10. Entrance fees online . If you a local donations accepted an entrance is free

Yes. Everyday.

I think so

Yes. Looks like it opens at 930am. Looks like it's open every day of the week but would imagine that excludes holidays, but unsure about holidays. Today it definitely looks to be opening at 9:30 am which is same open time as other days.