Where do the rules say a jump drive can time travel?
Well, I remember some adventure where jump has time travelled to future...
Even so, rules and setting make quite clear controlled time travel is not possible (at least at "current" tech, so I'd say you cannot.
There are no refineries in LBB1-3 that a private individual can set up, or refined fuel would be available at every planet.
Then it wouldn't be a Class C.
Class C, by definition, by RAW, FOR WHATEVER REASON, does not have refined fuel. Something (Referee's discretion) has prevented the development of a refining capacity on that world.
Refineries exist in LBB 1-3, as the existence of refined fuel implies them (unless, of course, refined fuel magically appears when a starport is rated A or B), just there are no specified rules for them. But there are neither rules about how often you character has to visit the head, and yet it's implied in being humans (and I guess most other races, in one way or another)...
And yes, refiend fuel may be avilable in any starport, just it's not guaranteed in those rated C- (and even less guaranteed at standard price). ITTR an adentrue where a C class starport wa defined as having refiend fuel in limited quantities.
I guess the facility rated in a way similar to starports most of us have used are hotels, and, as I said, the rating tells you what facilities and services are guaranteed by rate, not that there cannot be more.
A C rated starport guarantees you unrefiend fuel and reasonable repair facilities, but does not guarantee you there are no more than this. If such a starport decides to build a refienery, then what? It becomes a class B as it has it (despite not having the proper yards)? It's forbidden by the Imperium (or whoever rates the starports) to build it unless it also builds the shipyards?
As Hans (God have him) used to say:
It has to make sense