Not quite - the White Shadow quartz models with the cal 74 all have this logo. They are 1st generation quartz and predate the quartz movement in this watch so you may not be that wide of the mark. Edit: also have a look at 152954848500, 192492596800 and 232688826679. I think that logo lived longer than you might think.
Coin watches were a trend for a while. Here are a couple of examples attributed to UG in the 1980s , though not quite like yours: (thanks) (thanks) (thanks)
Well I think its pretty cool and legit. Even the movement looks finished. I doubt that would be the case if this was a fake. I believe Corum used to do these. I remember wanting one when I was a kid.
Date on coin is 1986 in Roman numerals. That was first year of US gold bullion Eagle coins. With that date, I would expect a quartz movement. 1/4 oz. coin is small, somewhere between a US 5 cent and quarter dollar, so almost certainly a ladies’ model. Looks legit to me. gatorcpa