Hi,
Bit of a newbie here myself and no expert but I managed to do a good job on my R80/7 carbs after reading all the tech tips in this forum, asking the questions you are asking and trawling the Internet for cost effective solutions.
I'm not sure if your carb will ever be 100% efficient in view of the physical damage, that is for one of the clued up fellas in this forum to advise you. However, I can tell you where you will find some of your solutions.
First.
Get the engine and frame number, visit this site,
BMW Motorcycle Engine & Chassis Numbers , and you will find the exact model and year of manufacture of your bike. If you don't know where the numbers are on the bike, visit there anyway, then, using the links on the same page, you will be able to find out lots of information about the bike.
Second.
Log onto these sites:
BMW Motorcycle Parts // Welcome
Motorworks - BMW Spares - home
BMW Motorcycle Spares - Motobins Ltd - Hints & Tips
By the time you have waded through their parts list, catalogue, exploded diagrams etc. you will have found every part you need. ( and how much it is going to cost) Remember to check the head to carb inlet rubbers and clips, any ingress of air here will upset the running ( one of mine was split causing rough running and impossible down changes because the revs did not 'die down' when the throttle was closed causing me to suspect sticky linkage or cable). Also check the condition and smooth operation of the throttle and choke cables and linkages. Any fouling or 'stickiness' here can mess things up. Again, cables and ancillary fittings (rubbers, grommets etc) are readily available mail order or from ebay.
Third.
If your carb body is damaged beyond repair, fear not, Bing carbs for airheads appear regularily on ebay so it will not cost you a fortune if you want to replace the broken part. I believe that you can get 32mm Carbs and 40mm carbs. I think your R80 will have the 32mm. There are also domed top and flat top versions of this carb. I have the flat top, you may have different, its just a visual check! (The carbs have numbers on them)
There are at least two or three regulars on ebay who break airheads ( that is a sin in itself!) plus the occasional private seller so you should be able to get a reasonable cost replacement if the carb is broken.
Fourth.
Whether you have replaced the damaged carb or not, the next step ( Judging by the condition of the carbs in the pics) is to clean and overhaul both carbs. The basic overhaul kit is around £16 (pair) and this includes all gaskets, O rings and diaphrams ( Which you definitely have to replace). You can easilly get all the other bits you will need depending upon condition. Floats, jets, needles etc. Needless to say, this is best done by removing the carbs from the bike. (A very simple operation). Do the job methodically, use the proper tools, don't bodge and keep it clean.
Fifth.
When the carbs are overhauled and replaced, you will have to set them up approximately at first. I won't describe it ( I may get it wrong) but this operation has been described in one of these forums before. The bike is then started ( hopefully) and given a ten minute warm up. Then the carbs can be balanced. This is best done with the proper vacuum gauges but, again, various cheaper methods are available. It is very important to get the Carbs balanced properly on an Airhead for smooth running and economy ( etc etc). Before I did this, I filled the tank with fresh petrol of the correct grade and fitted a new air filter at the same time. ( Don't forget to clean any in line petrol filters too)
..
An obvious tip here, if you have removed the carbs from a working bike, don't be tempted to do other work or adjustments like points, timing etc until AFTER the carbs are back on and running. If you adjust too many things while the bike is immobile and it does not start again, it is more difficult to isolate the problem.
Hope some of this may be helpful, I'm sure some of the experts on this forum can fill in the fine detail about which screw to twiddle and by how much.
Just don't forget to visit the sites I have mentioned, especially the bm bikes techie site. All the info you will ever need is right here.
Regards
Ian.