I don't think you are supposed to cut the patch in half even though your student health counselor advised you to. The box of patches I used said not to use a patch if the individual patch was torn or cut.
If it was "me"
punkiishmob, I'd stay on the 7mg patch until "I" was ready to come off it it, not what a counselor told me to do. Oh hey, I did that..

I stayed on the patch an extra month and eventually forgot to put a new one on some mornings... I came off the patch without really trying or knowing I did it.
And always remember, I am not a doctor so I can't tell you what to do.
Good luck to you!!