A few thoughts on Smith Carbines: When researching serial numbers you have to keep in mind that there are triplicate serial numbers, because all three companies began numbering at #1, and then consecutively through the end of their respective production runs. When you find a matching number you have to look at when that number was recorded, note which manufacturer your Smith is made by, and compare the delivery dates to the recorded serial number to see if your Smith was delivered later than the recorded date you have found. Believe me when I tell you that the Smith serial numbers recorded are nearly all Mass. Arms manufactured carbines.
As for shooting it, I would suggest you take a look at the N-SSA.org web site's Bulletin Board. Using their archive research, or registering to post a question, you will find more information on shooting Smith Carbines than you ever imagined was available. Those guys have been shooting Smith Carbines competitively for over 50 years!
J.