Yes!
There are a couple lots—by the center, the library’s lot next door, street parking, and a municipal lot across the street.
Any door that is open. It will be clear where to go ;)
At this point, we haven’t booked a hotel. However, here are a couple recommended ones for the area. https://www.marriott.com/en-us/hotels/mspsh-springhill-suites-minneapolis-st-paul-airport-eagan/overview/?scid=bb1a189a-fec3-4d19-a255-54ba596febe2 https://www.hilton.com/en/hotels/mspehgi-hilton-garden-inn-minneapolis-eagan/?SEO_id=GMB-GI-MSPEHGI&y_source=1_MjA4MjgyOS03MTUtbG9jYXRpb24uZ29vZ2xlX3dlYnNpdGVfb3ZlcnJpZGU=