If you would like to come back to the Forum for help in future, could you please register, so we can keep track of who we are all talking to? (No annoying emails, nasty spam as a consequence, I promise you.)
The difficulty you face is that you only have your child's word for what happened (plus that of a friend). The nose-blowing incident is really not a basis for an appeal.
If the teachers were walking around the room giving hints and tips to children, then you must, in the first instance, speak to the Head. I suspect that the Head will be very defensive, and that will not help your cause. However, by raising the matter of teachers "helping" some children, you may at least give next year's children a fairer opportunity.
In the meantime, please do use this Forum to look at all the most positive grounds for appeal - academic performance is the key to a successful appeal, and there is a wealth of information available here.
Please come back to us if you have any questions.