This morning, I received an email from the MAC Group Service Department in White Plains, NY saying that it's prepared to repair my light meter. My understanding is that the L-758DR was discontinued in late 2016/early 2017, so this is good news. If I send the meter to them, they'll give me an estimate. They're only 40km/25mi from me.
I've decided to do that rather than try to diagnose and repair this myself. Apart from the problem with the jog wheel, I believe that the meter is in excellent condition, and I'll ask MAC Group to have a look at it generally. The successor, the L-858D, is US$630, and many people appear to prefer the older L-758DR.
If I remember to do it, I'll update this thread when I get the estimate.
Thanks to koraks for his advice.