Yes, there are electric/water hookup sites as well as water only tent sites.

Some have electricity and water. They have a dump station on the way out.

Yes, we think it did! It had every thing!

Go to Reserve America (NM State Parks reservation system) and you will see which camp sites have electricity. There's a map there also which will help you. https://newmexicostateparks.reserveamerica.com/camping/oliver-lee-memorial/r/campgroundDetails.do?contractCode=NM

Some do. Just select your site wisely.

Yes, they have electric hookups and water at some sites