Mistakes will only count if it cost your child a place at the school
The mistake was publishing, for a while the incorrect PAN. This was corrected before applications closed.
Are you saying you wouid not have applied for this school had you known all along what the correct PAN? Did the error lead you to do anything differently on your form? Would you have made a different set of preferences?
What you mention might lead the school/LA to being censured, I think once again you,have tombe realistic about your chances of success.
And again, with apologies for being the cold voice, also be realistic about your chances. What you have listed in your case so far are 'balance of prejudice' which are not part of an ICS appeal.
You might stand a better chance on the angle of 'no village child has ever had to go to schol outside the village, ever', assuming this is indeed the case, and that the village is not growing (new houses etc, meaning you are unlucky in timing as there has to be a first year when the school is outgrown by the population, rather than it being a genuine, exceptional one-off)
Even then bear in mind that the threshold for exceptional/perverse is very high - things like child protection issues or placing a child who uses a chair in the onkymschool in a 10mike radius which is not adequately accessible.