are any of the shops open like J. Crew, etc?

Yes

Majority of the shops on the 3rd Street Promenade are now open. A handful have gone out of business J. Crew is open again, as are Champs, Foot Locker, the Levi's Store and Nike. GAP has permanently closed their Santa Monica/ Third Street flagship store.

Yes, you can shop in the store wearing nose & mouth coverings.

Banana Republic and Gap are no longer open. Other stores may be open.

Yes... but why would shop jcrew in Santa Monica? Barfff