assuming this is a reproduction, then it looks to be copying a wine from the late C18, with hexagonal faceted cut stem, and ovoid bowl. Someone spent time on this, and it's a good example of it's type, but have to say you will never know the maker or even its origin - a completely lost cause to try, and as you suggest, almost certainly a modern copy, of which there are many

Need to be mindful as to the nature of the wheel engraved decoration - some motifs i.e. rose and bud or perhaps thistles - can indicate particular historic meanings - when you say errors/mistakes, can you clarify please? The wheel engraving indicates the glass was held, by hand, and offered up to a revolving, small copper wheel - with some find abrasive mixture probably added to help the wheel do its work.
The faceting will have been cut - it could be moulded, but if the edges are sharp then almost certainly the facets will be cut. Use a loupe/lens and assuming it was cut you should see the remains (albeit very faint) of the grinding marks on the facets - the lines left by the grinding wheel will all run in the same direction.
the same applies to the depression under the foot - use the loupe and you should see v. faint polishing/grinding marks - these depression can of course be mould-formed, and are on some modern glass, but I'd have thought this example would have had the scar ground and polished away.
Glasses like this can't be machine made. Traditionally, pieces with a bowl, stem and foot are classified as three-part glasses - each part made separately and connected in turn - with the foot attached last.
I could be wrong, but with these faceted stem glasses, they may be similar in manufacture to drawn stem glasses - the metal forming the stem is drawn down from the material forming the bowl thus the stem isn't made separately, but don't quote me on that.

Height wise you're about o.k. - nothing wrong with the striations which indicate a hand-made piece - but likely this is a copy from somewhere in the C20. Is there a good lead-glass ring if you flick the bowl - probably it will only give a dull response, so not lead-glass.
We do have an expert on C18 wines in the form of Peter (oldglassman) - though not sure if he will see this post. Fingers crossed, though again we are back to the proverbial issues which mean that viewing via the screen only is less than ideal.
P.S. You may find the Mods. chastise you (in a friendly way of course) for posting in British & Irish glass, since there's no evidence to show presently that is the origin of your glass. In similar situations you are more likely to get a larger audience if you post in 'Glass' and this will be a more correct sub-heading for your unattributed pieces.
P.P.S. Since it's always helpful to look at what the experts say and write, you might try to source a copies of some auction catalogues. One that comes to mind and is related to the subject here is a Delomosne & Son catalogue with the title 'English Wine Glasses with Faceted Stems' - published 2005 - needless to say pieces to die for and which the likes of most of us will never even get to see let alone own.