A:Answer Yes, the system will work with cable TV (depending on your cable box). It does not have a coaxial cable input, but many cable boxes have several other output options. I don't believe most cable TV channels broadcast with a surround sound signal. So you probably won't get the surround effect. You may be able to get all of the speakers to make sound, but not the same as if you were watching a DVD or Blue-Ray that has surround sound.
With Chromcast, Firestick, PS4, etc. once again surround sound is in the media you are watch and less the device its coming from. However, I don't believe any streaming service utilizes surround sound (I may be wrong about streaming services, but I'm pretty sure it would be a premium service if they do stream surround).
Some PS3 & 4 games are surround sound compatible, but not all of them. It should say on the game case.