We followed the advice of multiple comments and kept bugging them every week or so ("Hey, got that paperwork for us yet? No? Okay, just checking!") and finally got it right at the end of November. Hooray!
While my boyfriend is now on the lease, there is other paperwork he has to fill out...and they don't have that yet. They have to "wait for the head office to send it." Why they haven't done that in the past two months, I couldn't tell you.
And we got a notice saying we're past due by $348.05! Whee, how exciting! A bunch of fees we've never heard of before.
I called the accounting associate for the management company and according to the message she left me, we'd been getting notices through the end of May, when we were $277.05 past due (baloney, if I'd gotten anything saying hey you owe us money, I would have paid it!) and due to my boyfriend not being on the lease until now, they weren't able to have an up-to-date ledger saying what we owed.
This is just...I AM SO ANGRY. I know it's on us to make sure we're on the lease and all, but we tried. We really tried. And when they stopped calling us about it, we thought it was settled. It isn't our fault they were "too busy" to deal with it for four months. Because of that, we now owe a shitload of cash. And of course, when I called my landlord as suggested, they said they'd "work on" getting me a copy of the ledger saying what I owed and why. (You best believe I will be stopping by every day the office is open.)
Pretty sure we're going to be moving once May rolls around.