Can you park an RV there?

For the day not over night but park does have it's own campgrounds that if going to park get good deal especially if in Rv cabin cost little. Also they have a shuttle bus that will take you to and from the park morning and night runs every 15 minutes daytime every 30-45 minutes (12-7 or 8pm)

Yes

You can for the day. They have plenty of parking spaces. They also have a near by (on the grounds, across the parking lot) hotel with RV parking

Yes the best thing to do if it's going to be a popular day is reserve your parking spot so that you have no problems when you get there

Yes u can there is specific places for kinda. Vehicles