Are you still not coming in person? I need to sync up my phone with my laptop because my phone will have no new messages but I walk into my laptop computer in the studio and there will be something like 400 new messages that are ones I’ve already read on my phone.
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I'm currently only doing online sessions via zoom while we art still in Phase 2 within NC. To solve your iPhone messages issue, here are a few things you can check:

1. In settings on the phone, go to Messages. Make sure you have iMessage turned on and that you can see both your phone number and your AppleID email address in the "Send and receive" area.
2. On your computer, open the messages app, go to preferences, and make sure you are signed in to the same AppleId and that both your phone number and AppleID email address appear in that area as well. If you are using 10.15 Catalina, you should see a "messages in the cloud" checkbox. Be sure to turn that on as well if it is off.
3. For iPads, repeat the same process as number 1.

You have to have your phone number and email address associated to each other in order to see text messages across computers, iPads, and iPhones. That's usually the problem.