Update: Rear differential is an LSD. Receipt from the oil change says they checked the "Differential/TransAx", but it doesn't get any more specific than that. Given the level of grime accumulated around the check port and drain port (?), and the fact that the orange label indicating LSD oil use only was completely obscured with grime, I doubt they even looked at it.
I can't open the check port currently. It seems to be threaded, and I measured the square hole at about 1.25cm or 9/16"; since I have nothing that can open it, I'm going to go see what Walmart has, maybe a socket wrench head just so I can check the level. I'm really not sure what I'm supposed to use to unscrew it.
1) If the level is below the level of the check port, do I fill it using the same port?
2) If the level is fine, does it make sense just to drain and replace the fluid just in case the current fluid is not for an LSD? At the very least, this would eliminate one possible cause of the low-speed steering.
Please bring some experience to my utter guesses.