Answers:
Not quite.
Up means "closer" to today's date. So for a future event, "up" means earlier (closer to now), but for a past event "up" means later (again, closer to now). "Back" means the opposite.
For example:
-- Future event: I have a doctor's appointment for May 12. I reschedule, and change it to May 15. I have moved it BACK (later; farther into the future).
-- Past event: I've been trying to trace my ancestors, and the earliest one I found was a great-great-great grandfather born in 1855. But today I found an earlier one, born in 1840. I have pushed the records farther BACK (earlier; farther into the past).