OK ... Your HSc was produced in May 1943 and, since there are no markings on the left side of the Trigger Guard or the Fronstrap of the Grip, it is considered to be a Commercial type pistol. That means it was not made specifically for a German military or police organization. It was, however, probably purchased by someone in one of those organizations since ownership by an ordinary citizen was forbidden.
Since I have no idea of the condition of this pistol other than matching serial numbers, it could be anywhere from $400 to $700. Without an original Magazine, that value may be reduced by the cost of a replacement, currently at $100 to $150.
As far as shooting it. don't forget you're dealing with an historical artifact of WWII that is almost 75 years old. Anything breaks, it may be expensive and/or impossible to replace. The Grips are a good example ... replacement for them would more than likely have to come out of Europe and cost more than the Magazine + international shipping. So, if you have to shoot it, get a pair of cheap replacement Grips or, better yet, by a cheap .32 for less than the cost of a Magazine and shoot it!
Let me know if there is anything else I can help you with. Semper Fi ... OORAH!