You need to check that your application was considered correctly - placed in the right category, distance from home to school was measured correctly etc. Your LEA should be able to tell you the distance at which the last place was awarded and the distance at which they measured your home-school distance (assuming that this was why you did not get the place). Check too ehwre you arae on the preferred school's waiting list - if you're very near the top you may well get a place before September.
As Patricia says, much depends on whether this would be an infant class size appeal. If it would, the only winnable grounds for appeal are
- an error which has deprived your child of a place
- admission arrangements which are not in accordance with the law or the admissions code or
- the refusal to offer a place was so unreasonable that it can't be allowed to stand.
It doesn't sound to me as if you have any strong grounds for appeal.
Frankly, I wish it was more widely understood that, for the vast majority of schools, attending the nursery does not give priority for admission to the schools. My LEA gives a leaflet to all parents at its school nurseries, explaining this, and mentions it again in the schools admissions booklet. I think most LEAs do something similar.
If the nursery has encouraged you to think you would automatically get a place in the school, or encouraged the children to think they would all be moving up into the school together, that was wrong. Different admissions criteria will apply to the school and rightly so, because there may be many good reasons why people living close to the school don't take up nursery places there but still want to be able to apply for a school place. To state the obvious, you need to help your child think positively about starting school.
Have you been allocated a place at another school? If you don't like the school, you need to look for others and join waiting lists. Don't bank on winning your appeal.
Lastly, you seeen to have posted a great deal of identifying information about yourself and your child. You might want to ask MNHQ to remove some of it.