A small glass jar (baby food jar) accidently got into our kitchen garbage disposal. Will my plumbing screwup?

A small glass jar went into our kitchen garbage disposal. As soon as I turned it on I heard an odd noise and so I stopped it and looked into the sink using gloves. I found broken pieces of the glass. I took a lot of them out- as many as I could. But there are a few still remaining and I’m guessing a few went into the pipe. Should I be worried? I looked and there did not seem to be an easy way to access the cavity where the glass shreds are – unless I call a plumber. Tight on money. Will call plumber if needed, but dont want to uneccessarily shell out dough. I’m guessing the pipes are copper — so nothing should get cut. I’m in a 12 year old house.