Yes, it should work.
Yes, it should work.
The device is a cable box for your TV. If you need assistance, simply let me know. Usually the instruction says "cable in."
It's referred to as coaxial cable. If you're unsure of the correct terminology, people often become mixed up. Typically, each account or home has just one cable modem. You might consider using MOCA as suggested earlier. Ensure a MOCA filter is installed on the main cable entering your residence.
It seems you're checking if it functions without wires. Just confirm if it meets your needs!