Congrats on your first HK and welcome to the forum.
Yes, HK should be able tell you what variant the pistol was when it left the factory. With an unloaded pistol, pulling the hammer back and slowly releasing pressure should answer the other question. If the hammer does not remain in the "cocked" position on its own, you likely have a V2 LEM. Also the smaller size of the hammer and the absence of a decocking button next to the hammer would also indicate a factory LEM.