Madelaine,
I have the JVC S-VHS4600, essentially the same as yours. I was able to get the UCommand to program for record, and it also mimmicks the JVC EOM remote in the you must press both the record and play buttons. I did not have another remote from which to try to teach it the single button record. I would suggest contacting Crisp Solutions directly from their website, here is their support link:

[Link: crispsolutions.com]

If they are able to resolve this, please post a note again in this forum.

Best wishes,
-Doug W.-