1979s have a points ignition system. 81s and on have a stone-age electronic ignition. Both have there good and not so points.
The Bing CV float bowls are easily removed. Check for debris, varnish, bad floats, dirt, etc. Could be a clue. Fuel tank is bound to need a good flush and check for rust...ugh. Fuel lines will need replacing as well as adding an in-line fuel filter.
Battery is likely toast. Check oil in engine, transmission, drive shaft and final drive before motoring off.
Lots of airhead riders in your area. Encourage yo uto vist the local BMW emporiums and get a couple leads on owners who may be willing to trade a hamburger lunch for assisting you in a pre-buy inspection.
Welcome to our funny farm.
Monte