Is there a lunch sitting area

Yes. No kitchen, but there are vending machines and seating

Yes, in a very inspirational room full of quotes and photos of scientific personalities from throughout history

Yes, a large room with tables. If there is a school group the staff typically reserves a couple of tables for other visitors. Food and drinks are not allowed in other parts of the indoor section of the museum. There are also a couple of picnic tables outside, but still inside the museum, for when the weather is nice.

Yes...both inside and outside (for warmer weather)

yes