I used to own a T60 and I remember reading about speed control issues (mine did not have them). What I remember is that owners changed out all of the caps and cleaned the pots and this resolved the issues. I can't remember which site, but it may have been Audiokarma.com. I hope this helps.
HK T-60
I have an HK T-60 turntable that I bought new in 1983. It has been a great pice of equipment especially considering the price! Lately, the speed has been a bit irregular, especially with the quartz lock engaged. Is there a reasonable repair for this issue? Or, would I be better off to try and find a new TT ?