Paul
I've looked at your previous posts but I'm afraid I am struggling to work out what is going on with your PIP claim.
You reported a failure for your PIP claim in April with zero points but then almost immediately
started posting about an assessment, too fast for you to have made a new claim.
However, if your DLA did stop in April/May then any new PIP award should be backdated to when you made then claim. If your DLA was not stopped then it continues in payment until four weeks after the Decision on your PIP claim was made, as apparently detailed in the letter you have received.
Gordon