Yep, you can probably get back on Mom and Dad's insurance. Call 'em, see what they think. If it's cheaper, do it.
Remember, once you hit 27 (adulthood now?), you're on your own.
I don't believe your Employer will keep a group plan. They'll probably go to an HRA, Health Reimbursement Arrangement, and you'll find insurance on your own. So, go shopping. See who's cheaper, and go. If Mom and Dad live out of state, with better rates, that's a no-brainer. However, my guess it'll be a wash, with no major differences.