Greetings Phil,
You ask two questions.
Phil Schuman wrote:
Yes. More insulation always helps. I would start between the joists.
Use craft faced batts. Use the highest R value that will fit. You can staple it up with a staple gun or they have metal wire about the thickness of a coathanger that will "bow" between the joists using tension to hold up the insulation. If you really want to go crazy you could also screw up some foamboard insulation but I wouldn't. Also insulate air ducts and pipe in the crawl space. Do this before installing the batts for easy access.
Hope this helps, William