Jason,
I'm relatively new here too, but I think you have a great looking rig. Perhaps a little high on the price but not outrageously so. We've all paid too much at one time or another. Enjoy your luger!
I wouldn't hesitate for a second to shoot it after a thorough cleaning, inspection, oiling. One of my shooters is a mismatched 41 byf. Barrel is just so-so, but it shoots great. I shoot all of mine at least once. Even a 1937 Krieghoff, although the seller almost had a heart attack.
A couple of areas people miss: Get a small push pin remove and clean under the extractor. These can be tight and difficult to get out and in. See the vids here:
http://www.wonderhowto.com/search/luger/
Another area is the firing pin. Remove and swab out the breech core that holds the FP. Amazing what you'll find in there. Also the spring cavity in the FP. Use a brush on the barrel bore from the back.
The byf's were the last of the German military lugers and very well made. Have fun.
FN