Is car parking available near ship and the fee to park?

There's parking right in front of the ship, a very very short walk. It's $2 per hour, up to a maximum of $18.

There's a huge carpark area right in front of the ship.

There's plenty parking available for the museum. Parking fee was nominal if my memory serves right...

Parking is available adjacent to the ship. First hour is free. $2.00 per hour after that to a maximum of $18.