How can I force apartment management to fix leaking roof and ceiling?

[Casey Y]

"I figured no one can argue about the time stamps on FB."
Think again. That is not going to count as a legitimate source for information.

You need to send the management company a CERTIFIED letter requesting that this be resolved in a "timely" manner. Up until that point, they can claim you haven't really contacted them (unless you have email or phone messages). Even so, the certified letter is the way to go.

If they fail to respond in 3 days, then you should send a letter (certified) to the local housing authority along with a copy to this management company. They will have responded by that point.

If they don't respond, follow up with the local housing authority.

You can get a lawyer, but they will probably take these steps anyway.

Good Luck.