You’ve got a great car there that, if given some love, will last at least another 20 years.
The 82-85 Mercedes diesels are popular for straight vegetable oil conversions because they use 5-cylinder indirect injection engines. I think they also use sleeved cylinders, so you can replace the sleeve when it wears down.
The electrical system may give you some problems - notably behind the dashboard. It’s common to find them not displaying speed or engine RPMs at all. And the A/C system may give you fits if one or more relays aren’t working quite right.
These cars have mechanical fuel pumps, but they are not self-priming. There’s a priming pump on the incoming fuel line that you can use to pump the air out, should you get a bubble or run the tank dry.
Have the cylinder compression checked - spec for new is about 350 PSI, IIRC. All five cylinders should be close together - if the first cylinder is much lower than the others, you’re going to have starting problems sooner or later.
Oddly enough, for being both a diesel and an automatic transmission, your car can be tow-started. There are instructions in the manual for doing this.
I concur with AHunter3, it’s probably not the starter itself if you’re hearing the click, have the spacing checked.
If the vacuum system is leaking, certain accessories won’t work. Cruise control, A/C, door locks, fuel door release, and stop rod actuator are all run off the vac system. There’s a seperate vac unit for the rear of the car. The stop rod actuator is the important one - if the vac system leaks enough, it won’t stop the engine and you’ll have to do it manually. There’s a tab under the hood marked “STOP” - press it sometime the engine is running . 
The most common problem I’ve heard of in these cars is transmission slip. The biggest danger is overheating the engine.
Keep your fluid levels topped up, and you’ll be driving that car out past 1 million miles. Write to Mercedes-Benz in Germany every 250,000 km, they’ll give you a badge for the front grill. 
-SteelWolf, owner of a 1983 300SD and a 1984 300SD (only one of which works)