Do not let your son pitch and catch without proper rest. My did it as a HS Freshman and has had two elbow surgeries since and still isn't the same as before. His HS coach did abuse him with high pitch counts and then would have him catch the next day. We (his parents) stayed out of it but I sure regret not getting involved back then.
Who know if the results would have been different but I think they would have. My kid never wanted to come out of a game and would never say no to playing. I think now he regrets that as well.
Have you kid talk to the coach and if his response isn't what it should be then intervene. BTW I usually never advocate for getting involved with coaches unless a kids health is at risk.
My son's last surgeon said catcher's throwing motion is more harmful than a pitchers. At least that is his opinion.