I exited the starting building and it won't let me back in. When i click the enter option under movement it says that "there are no facilities, ships...avlaible to enter" (or some thing like that).
I am on Hapes trying to enter lorel hall.
When i left there was nobody in it and i have been trying for 2 days to get back in.
Unless the facility has its crewlist setting as 'open to all', you need to be added to that crewlist to be able to enter. It sounds like that's your problem there.
The starport you spawned in should be open to anyone - its NPC owned. However, if it was a faction HQ you spawned in and have since left that faction then its likely you will not have access to get in. Is there a reason you are trying to get back in? There isn't usually much reason to go back into the starting facility unless its for NPC transport, but that facility should be open to everyone anyway.