Assuming your phone is running Android and you're auto-connecting to a neighbor's open WiFi network, go into Settings, then WiFi, and find the list of networks. The network in question should say "connected." Long press it and set it to exclude.
Your Watch might be paired to another iPhone, which is why it won't pair with your phone. To fix this, go into the Watch's Settings app, tap on "General," "Reset,...
If your cables and your router(if you have your own) are up to the task, then yes. They told you about the motherboard because it has a built in network...
When your phone is ringing use the volume to turn it down. There should also be a setting on the CarPlay to turn it down without your phone needing to...
Some lhasa apso do shed but just at a very slow rate, so the breed is generally considered "non-shedding" for this reason. Your dog may be an exception to this...