When I send messages from my iPhone (A) to another iPhone (B), the responses from B keep coming to my Mac and do not appear on my phone (A), even when I have iMessages closed. This is maddening. How can I prevent this from happening?
You have a couple of ways to configure this. First off, make sure both the computer and iPhone have been set up to use the same Apple ID.
It should work by disabling all but your phone number on iMessage, but you may need to disable everything on your Mac as well. A little experimentation and tweaking should get you set in just a couple of minutes.