Why thank you all.
To GolfProRM:
Interesting situation. If you're positive that the splitter is good, I don't know what to tell you. If you have a Motorola SURFboard cable modem, try going to
http://192.168.100.1 and look at your signal levels. This also works on some of the newer RCA's and Linksys modems, but I think the Motorola page is best. Copy your signal page here and I can let you know if everything looks within spec.
Is all your wiring RG6? Is your drop coming in RG6? How old is it? If you have RG6 running to the cable modem and the digital cable, of course the old TV doesn't matter, then I don't know what the issue could be. Maybe your cable modem signals could hint to me what the issue is. However, if your drop coming in is RG59 cable, that could be the cause of your problem. I have a bunch of splitters over here, and even though I don't have digital cable, my modem works fine. However, your modem works fine too, you're just having the problem with digital, so take a look at your wiring and drop, and trying a new splitter couldn't hurt either.
If you're positive your interior wiring is good, the drop is most likely the problem, which could be a problem with your landlord. However, you can always try some fresh RG6 cable and run it right to your TV and see if that fixes the situation. Never know when it's a bad cable either.
Paste your signal levels on your modem if you can and that might hint something to me since everything is coming off the same splitter.