I'm sorry to hear that but I think it happens in the real world
Having bad experience in watch shops is not that uncommon... I believe that it is mainly because:
1. The shop manager / sales don't know their stuffs
2. The shop manager / sales believe that they know their stuffs and their customers are newbie
3. It is "Seller's market" now. i.e. The shop manager / sales would take on the manner that "if you don't like our stuffs, don't come here!" and they *believe* that there are thousands (or tens of thousand) customers out there want to buy *their* stuffs
4. Well... last but not the least.... we (as customers) know more and more everyday and expect more 
Ok, back to your case, I think the shop you got your watch "play a major role" here. Personally, I don't believe the CEO of Swatch group would ask you to write to them that you will never buy any Breguet again.... In fact I think he would love to see you write to them you will ONLY buy breguet instead 
So, I would not trust those shop owner/manager/sales regarding this unless I see letter signed by Mr Hayek with Breguet / Swatch letterhead saying that he wants my letter.
All I can say is that it is another case to show how one shop (and probably one person in the shop) could destory a reputable / famous brand in a night (at least to the customers involved).
I know how you feel now. Actually, I did experience something similar (if you are in this watch collecting hobby long enough, you would experience this sooner or later).
I would suggest you to relax and probably go to other country to have a good holiday. Go to more watch shops in different parts of the world and experience. I believe that there are more good watch shops than the bad ones.
p.s.: For mechanical watch, you need to take it back for service after a few years. Basically, they will disassemble the watch, clean the parts, oil them, and re-assemble the watch.
) Most companies are generally honest and willing to go above and beyond to accomodate...I know I do with my customers!
especially on how they treated you.
But back to the watch, I just want to let you know that it is not that bad IMO.
I do own a few vintage watches. For those vintage watches, it is very common that you have to "start" the watches (by a shake). It is also not that uncommon for modern watches too. Of course, it depends on how "hard" you have to "start" it.
I can let you know that I have a modern watch that have a Power Reserve Indicator. It stops moving before the indicator pointing to zero. Is it a bad watch? For me, I would not think of it that way.
"Your" breguet is an automatic watch. May I know how many turns of "winding" had you done on it before you expected it to move?
FYI, even for manual, if you did not wind it enough, it may not have enough torque to start the watch. For automatic, the winding efficiency from the crown is not that effective.... so a few turns on the crown cannot start the watch is normal in my eyes.
These are just my humble opinion. Of course, I am not saying that is the case for your watch. I just want to share all the people here about my personal experience about winding and starting a watch.
Cheers.