Yes you would need two dish at least for both services. It would be worth while asking a licensed installer to do a site survey of your situation and they could tell you exactly what (if any) services you can receive from your location. Would cost around $30-50 but would save a load of hassle, otherwise let the installer/s find out the hard way when he/she shows up to do the install.
Should be OK for two dish also, I have seen loads of apartments with two dish. Have a look around and see if anyone else has two, this will also give you an idea if satellite TV is feasible for you right now. (tell them you need the two dish for local channels)
Grounding an apartment to local and NEC code is another kettle of fish that I will not go into in depth right now but lets just say it can be a challenge and is not always doable, so I would keep that in mind. To be safe it HAS to be done, alas many installers will go ahead and do the install un-grounded or not to code.
Good luck and I hope it works out for you, as I know what its like when you cant get satellite TV : )