This is a full set.
Yes, this Meprolight Self Illuminated Green Rear Night Sight Set is compatible with your S&W 10mm C.O.R.E. model pistol.
The Meprolight Self Illuminated Green Rear Night Sight is the rear sight only, with no front sight. C.O.R.E. sight sets are not compatible with standard M&P model pistols. I would recommend the Trijicon Bright & Tough Night Sight Suppressor Set, found by using the link below:
https://www.opticsplanet.com/trijicon-bright-tough-night-sight-suppressor-set-for-s-w-guns.html
If your M&P is a regular (non-optics ready) M&P, these sights will not fit as the rear dovetail cut on the CORE/OR/Optics cut models of M&P's have a smaller dovetail dimension than the regular M&P models.
Otherwise, if it is CORE/OR/Optics cut model, it should fit just fine.
These are not for the J Frame.
No. They will not fit.
They should fit.