Originally Posted by Tyres O'Flaherty View Post (Source)
They let you dock if you have fines, just no access to services until they are paid off.

I think, and I may be wrong, if you have notoriety, the situation is different...
Yeah, you can pay off fines, once you have docked and limited access to station services - which is basically just contact to the authorities. If you got a bounty, you will not be that lucky to be ignored by the authorities, when trying to get into the station. But once you are in, you can dock and pay off your bounties as well.