I'm not a Connecticut lawyer, and I'm not familiar with the particular form you've purchased. But I'd say it's always safer to have a separate power of attorney for each person. The person named as receiving the power (you) would want to keep the originals, to make copies for people you'd be dealing with on your parents' behalf.
I'd suggest that you get a basic consultation in elder law from an attorney. You will need to keep detailed records of what you do for your parents, and you need to understand what sorts of things can get you in trouble for misusing the power of attorney.