Hello, I am coming in from a flight straight to the museum. Are bags, like rolling luggage permitted? If not, is there somewhere close/secure to house your luggage?

No

Luggage is permitted after it is screened by security. We do not have a storage location for your luggage but you are free to carry it with you.

Absolutely not tight security all Parcels are x-rayed and scanned

Not aware if they will allow you to store your luggage.

There are some small lockers near the restrooms on the ground floor that you can rent. I'm not sure about storing luggage size items. You may want to direct that question to actual museum personnel. Enjoy.