These are the rings pictured: https://www.opticsplanet.com/nikon-p-series-mount.html
It does not come with a mount.
No, unfortunately the mounting area is too short to fit with that mount.
No, the front post would appear as a blur in the lower 1/3 of the optic.
You definitely can, but there are most likely better options for both. Please email us at techsales@opticsplanet.com and we can assist you.
You will want to use eyepiece MPN: MO20140 and objective MPN: 30150
yes you will need to buy a carry handle mount utg 24 bucks leupold is 45ish
You can, but you need an adapter to allow you to mount a scope to the carry handle.
If mounted between 1.5" - 1.6" you will notice the front sight in your image as a blur, however this optic will still be usable.
This scope is calibrated for 223/556 ammunition, you may have a better experience with one of Nikon's rimfire scopes. Here is a link to a popular one:
https://www.opticsplanet.com/nikon-prostaff-rimfire-3-9x40-matte-bdc-riflescope.html