Style number -4145 belongs to a Soho Mini Hobo, and the plant code N probably wasn't used so early in 1994. A photo of the correct style -4145 is below. There are several others of the same style listed under both Current and Completed on Ebay. It looks as if that style wasn't made until around 1997.
Here's a listing for a totally different fake with exactly the same fake serial number, "H4N-4145". The seller describes it as a Thompson Drawstring but the Thompson's style number is actually -4151.
http://www.ebay.com/itm/Very-Rare-V...D&orig_cvip=true&rt=nc&_trksid=p2047675.l2557
The year code of both fakes indicates 1994 as the year it was made. But any bag with a style number starting with -41** and made in 1994 would have had to be a Soho bag with lightweight leathers and hardware, which yours is not. Everything points to it being fake.
EDITED TO ADD - I did some digging and found the "Intro" page for that style -4145 in Coach's Holiday 1997 catalog. Note that it's listed there as "NEW".