Unfortunately allowing a child (of any age) to go a year without listening will lead to a child that does not learn to listen. It will take a lot of work on your part to correct this. It may very well of have been age, a year ago, and not she just has the understanding that she doesn't have to listen because she was never expected to.

Why would you have a child repeat back sentences to you? I can see having a child repeat back what you want them to go do after you've made a request to confirm their understanding but to repeat back your sentences just seems unusual and a 5yr old may just not see the point in doing this.

There are plenty of high energy children out there that are by no means ADHD/ADD. It's in their termperament and there is nothing you can do to stop their high energy all you can do is teach them strategies to burn of energy in acceptable ways.

I would focus less on the child being ADHD and how the parents are not addressing it and I would educate yourself on temperament as well as child development (the mouth and tongue movements while focussing are quite normal). Use this knowledge to teach yourself not to be so frustrated with children.

That said, if you are not getting along with this child then you need to terminate because this child deserves a daycare provider that understands and accepts her for who she is...not who you expect her to be especially if you are not puting in the energy to train her to listen but rather expect it to just come with age.