Contact Apple directly, don't use popups or odd email links.
This item you show appears to be a scam. Unless you've un-
locked or jail-broken the product, there's no way they could
force you into this hold-hostage situation.
Maybe try to start in Safe mode (shift key held down) then
your Mac OS may ask for your user admin password to
start in Safe mode. You could then try again.
If you've set the Mac to use Two-Factor security, you may be
able to get past this fake scam. Or plan on taking the Mac to
an Authorized Service Provider or an Official Apple Store for
help. Usually this kind of problem may be caused if you've
not been careful with your AppleID or other online browsing.
Sorry that you've an issue; perhaps others may offer more advice.
Good luck in this matter...! 😐