No
Not by law
Yes, but I wouldn't recommend initiating this.
Try to enter the US as normal. Do not mention I-407 or NTA. Bring all paperwork showing ties to the US.
If CBP proposes to sign I-407, you can decline and see IJ (NTA).
There's a big chance you will be allowed in without too much hussle, maybe after secondary.
Make sure to stay in the US and not to take long trips outside the US to maintain the residence.