Can you post a link to the kits or did you buy them locally?
That's more of an all grain batch than partial. I mean, yes, technically if you add ANY malt extract to it it's a "partial" mash but we're on the verge of requiring a new term like "mostly mash".
A 2 quart sparge in 15 pounds of grain is like pissing on a forrest fire.
Are you sure the directions don't say 2 quarts PER POUND?
For example, you might mash 15 pounds with 5 gallons of water. You'd get about 3 gallons of runnings out of that. A 2 quart sparge would only get you 3.5 gallons total.
Again, since these are all grain type grain bills here, you should be deriving at least 6-7 gallons of preboil wort. Therefore, the sparge would be closer to 3-4 GALLONS.
If you can't handle 6-7 gallons of wort in your kettle, you'll want to get some true partial mash kits that use 2-5 pounds of grain and 3-6 pounds of malt extract. That way you can be comfortable with 2-3 gallons of preboil.