1982, eh? Splits my brace of R65s right down the middle. Be sure and post up some photos, Wilkie. We keep it pretty simple here... usually

Play with some fork oil weights. The BMW spec is 7.5 wt and I've always found that to be too light. Is this an upgrade?
The "seeming lack of brakes" is a fairly common observation regarding the Weemer's rear drum. There's a big ol' oil seal around the final drive splines that can -when worn out- allow the gear oil to slick up the drum and shoes. Big fun, that. Plan your braking well in advance.

Plus those pesky O-rings on the brake cam shaft...

You'll get used to relying on the front disc a bit more.
These are all fairly old scooters.
We have to adapt to their idiosyncrasies.
Maybe take a peek under the fuel tank and see what type of ignition coil you have. Plenty of the untrustworthy Crack-O-Matics still out there.
I'd suggest changing all lubricants, check valve lash and give the sparkle plugs a look. If you have metal spark plug caps,
there's a nice upgrade you could make.
While the carbs are playing nice, leave 'em be. Fuel filter is a nice thing to have.
Ride it. Enjoy it. Repeat.
Welcome to the herd, asylum, family... whatever. You get to choose!
Monte