I hate how JVC calls these "multi brand" remotes. It's so misleading. They only work on one brand: JVC.
Almost any JVC S-VHS VCR remote will work, all the way back to the mid 90s models. So more than a decade of models use the same or similar remotes.
See also:
http://www.digitalfaq.com/forum/home...nu-remote.html
The black ones have dozens of numbers, like PQ21953U, but it's really no different than any other black remote that looks the same.
I never seen PQ11534 before. It must be from the early 90s. Bit it will probably work, too.