I'm not a professional but your problems sounds like posterior open bite and edge to edge bite.
yup I have that same bite. It's a skeletal class 3 where the upper jaw didn't grow forward enough but my front teeth line up kinda edge to edge and none of my back teeth touch when I bite down except my wisdom tooth on one side.
For me, I tried to have this bite camouflaged with Invisalign a year ago with elastics that were pushing my lower jaw back (and IPR lower row), but it caused me severe TMJ pain and my jaw to lock shut for five months. So now I'm in braces to align my teeth right (make the underbite worse basically) in prep for jaw surgery next year to move the upper or both jaws forward slightly.
I'd just say, be very careful if they want to use elastics to camouflage a bite like this...the tension pushing the lower jaw back in the joint and over time (talking 6+ months) can significantly worsen TMJ issues especially if you had some prior like me. My jaw joints are still fucked and I have daily pain, not sure it will ever be normal again. So just..be careful please, OP. Ask a ton of questions about what they plan to do.