Cell phones are based on a terrestrial network that doesn't require satellites. The most common way you see them are through cell towers but there are actually a lot of different classes of cells that range from huge towers to microcells you can get from various vendors to enhance your signal in relatively remotes places (that still have Internet).
In these cases, as long as the various physical networks connecting the towers are in place, cell phones will continue to work.
Now, if we didn't have satellites, then some phones won't work but those don't apply to your more common phones. This is also why you can lose signal for a phone if you go into unpopulated areas; satellite phones always work as long as they can connect to a satellite.
For cable. Most of the satellite dishes you see outside of a cable place are to handle non-local channels. This would include things like HBO, CSPAN, etc. Without satellite, those would probably be gone.
However, local stations don't usually push up to a satellite because it isn't worth the energy. They broadcast locally (that is why you also see tall towers near cable companies) or they transmit directly via wire to the cable companies. In those cases, the signal would be okay because there are no satellites involved.
Another point to mention, most local stations get varying amounts of programming from corporate offices. This would be the show you like but not include the local news. Without satellites, those would probably be down but a station could then supplement it with more local programming.
So, without satellites, cell phones would work but you would probably only get local stations and programming would be probably be poor.