Hey hope, hope you aren't in too much pain. Now I am not a medical type, but I broke my shoulder a few years ago (wasn't drunk but dined out on the ridiculous series of events that led to that for sometime!).
I had the same sort of experience as you. Although I broke it in a different city and had to drive back to mine to go and get it checked properly i can confirm that driving with a broken left shoulder is not a fun experience, literally cried every gear change.
When I finally got back and sat in a&me for a further 5 hours with sodding pictures of my sodding X-Ray's from my first funfilled a&e trip they gave me a proper support sling, one of the blue adjustable ones rather than the piece of cotton they gave me at the first place (which looked suspiciously like one I used to use to practise for my medical badgey what's it when I was at brownies over twenty years ago!), and told me to come back in two weeks. They did tell me not to drive as it would invalidate my insurance if I had an accident, but just googled for you and dvla say that you have to inform them if you are unable to drive for three months at least 
helpful, eh?
I would stay off the driving, as it will put unease art strain on it, but doc advised to try and keep doing stuff as normal to keep the healing process going (yeah, try doing that with a big fat sling on). They also told me to wear the sling at all times, even at night, so basically didn't sleep for about a month as there is no way you can sleep with your arm strapped to your chest! Sorry, not being very positive... Oh the upside, when out and about, people were very helpful opening doors and carrying stuff when they saw the sling, so every cloud.
Not sure if you are working atm, but my workplace had to check their insurance policy and said basically if anything happened (I work in an environment where bumps and stuff are likely to happen), then they wouldn't be liable, so it was at my own risk that I continued to come in. Might be worth speaking to someone if that is the case? Or have a jolly few weeks of lazing about!
Anyway, that's my long winded experience of what happened... Forgot to add that at the first a&e when I told the doctor I thought it was broken, he gave me a hard stare, told me it wasn't. He then instructed me to lift my arm as high as it would go, I managed about as far as my hips, at which point he grapped my arm and lifted it over my head. I have never ever in my life repeated the language I used then. It may have involved the c word 
he seemed quite disappointed when the X-ray showing the break turned up. I was unlucky as every other time I have had to use the Nhs they have been fab!
So to conclude my essay, try not to drive, keep sling on, take lots of lovely painkillers, and let all others around you wait upon you hand and foot.
You can probably tell I am bored, waiting for the rain to stop so I can take Lala pup out for walkies. She has a horrible tendency to plonk herself down and refuse to move when it is rainy. I am definitely going to embarrass her and make her wear her raincoat though. Oh the humiliation! And rest assured, there is no way on god's green earth that you can smell as bad as her (unless of course, you too have been rolling in fox shit!).
Hope that is some sort of help, guess someone else far more knowledgable and experienced than me will be able to help. 
and 
and 
for you. It's horrible feeling so bloody useless (not the right word, but you know what I mean!), isn't it? Xx