There a numerous reasons for back pain:
tight muscles that attach to the spine such as hamstrings and psoas
weak muscles that control the spine - ie core
poor or inappropriate foot wear
weak or tight muscles involved in running, that either don't fire properly, and then the muscles of the spine need to take over, typically glutes, but can be other muscles too.
herniated discs
improper running technique, like leaning forward or twisting too much (which may also be related to any of the above too)
The best option is to get evaluated by a professional physiotherapist who knows running. You want to nip this thing in the bud before it becomes worse, and then you can't run at all ( i have seen this happen with some people).
Good luck!
Han