Does it matter if I haven’t received a notice of appeal?
Yes, because this is required under the Tribunal's Practice Direction.
It is the document which is copied to the tribunal by the authority and which because it states the date of posting of the NOR kick-starts theit calculation of the 28-day statutory right period.
If it has been misstated, then this is another procedural impropriety.
Assuming that you don't have more than one PCN at the tribunal, then either:
They can't count; or
They've been misinformed.
As it stands, they will NOT register an appeal as being in time. This could be a MAJOR problem for you. Not only would you have to convince them that an error has occurred but also stop the authority from issuing a Charge Certificate - if they have entered the date wrongly on the NOA then possibly they've done the same with their system and a CC could be on its way.
IMO, you must get to the bottom of this.
As I understand it, a NOR must be served by post - yours arrived by email- so you could well receive a paper copy on Mon. 14/Tues 15th.