Hi Elizabetherino,
It sounds like you're experiencing issues with sending messages and making calls, as well as an issue with FaceTime. We'd love to help get these issues sorted out, so you can enjoy your new iPhone 11 Pro Max.
Just to make sure we're on the same page, can you let us how you if you transferred the information to your new phone by using the Quick Start method, or if you transferred it another way? More about the transfer options here: Transfer data from your previous iOS device to your new iPhone, iPad, or iPod touch
What exactly happens when you try to make calls or send messages? Do you see a specific error? If so, does the error mention an issue with activation?
This page has some great information about what to do if you can't make or receive calls: If you can't make or receive calls on your iPhone
This link outlines what to do if you can't send messages: If you can't send or receive messages on your iPhone, iPad, or iPod touch
As for the FaceTime issue, does it just continue to say "Verifying," or has an error appeared at this point? If you are seeing an error, this link may be helpful: If you get an error when trying to activate iMessage or FaceTime
Take care!