Several good questions. I would say that this is all the realm of the Ref. And, as Ref, I would look at the world characteristics.
If the world has a quality Starport, high pop, and a good tech level. If I think the place has a lot of traffic, then I would think ships aren't allowed to go into close parking orbit. For a long term hangar, I'd look to real world circumstances--what does it cost to hangar a plane? Typical dock cost is X Credits per week, then the same amount per day after that. I'd probably go with the same X credits per month with the vessel stored.
If the world is low pop, with low regulation,and not much traffic. Then I'd think anything goes. Park in orbit. Find free places store the ship (under that tree--put this tarp on it) or cheap long term hangers.