Hi Vicspa,
Your story is virtually the same as mine. Sounds like you picked up a nice gun for a fair price. If the parts are indeed all matching (except magazine), from the 1 photo here it looks like you have a nice collector's piece. (The seller never fired it!). I've struggled for some time whether I want to take my first Luger to the range (I have only 1 P08... same as you, and I too have other guns to shoot). Mine is also all matching (1917 DWM) and I have decided not to shoot it. I know if I break it I will be quite upset about destroying a piece of history. SO I looked for, and found

a nice shooter (1918 DWM). I have 3 months still to wait
So.... I would say.... find a shooter and have fun with that! It will cost some extra but you have freedom from fear of breaking your very first, and a nice investment / special piece for your growing collection! Would be nice to see more pics.....
PS A "shooter" is a gun which has either not all matching parts, or has some other flaw which takes it out of the "collector's piece" class, such as refinishing, obvious import mark, visible pitting or the like. I've seen photos of some beautiful shooters!!