If your sons have not been given a place at this school, then that means the places have already been filled by children who, according to the admissions office, have a better claim to a place according to the criteria of that particular Education Authority. Either that, or admissions have made a mistake.
They cannot now kick out any of the children that have been given places. So in order to get your son a place you have to either prove that they made a mistake according to their own criteria, or that there are special reasons why the detriment to your son from not going to this school is so much greater than it would be for any other children who are also not getting places at this school that this outweighs the detriment to the rest of the children in this school from over-filling the school.
The 2 minutes walk might be neither here nor there, as distance is not necessarily a criterion for deciding who gets in: our LEA has catchment areas instead and the way that the boundaries have been drawn means that some children who are next door to the school are out of catchment, whilst others who live a fair way away are within catchment.
So your first port of call is to get hold of the admissions criteria for this particular LEA. Distance is unlikely to be a top criterion the way it goes in our LEA is:
- children in care
- children with special social or medical needs
- children within the catchment area (ie.e. living there at the time of application) with siblings already at the school
- children within catchment according to distance
- children outside of catchment with siblings at school
etc
So the distance rule only starts applying when all the children in groups 1-3 have been given a place.
Some LEAs also have coming from a feeder school as a criterion.
If you cannot show that the LEA has made a mistake, you may still be able to get in if you can show that there are special social or medical reasons why your sons need to get in. E.g. if there are medical reasons why they cannot travel across town on public transport or walk a mile or two (though the LEA would probably prefer providing transport to overfilling a school). It is perfectly normal for teenagers to make their own travel arrangements, so unless they had very specialised needs, noone would see a 2 minute walk as a reason why they had to have a place; it's a luxury most teens don't get tbh.
If you are going to adduce special reasons (whether social, medical or emotional) you need to provide some kind of expert evidence that your sons do have needs which are different from those of their peers.
We did get dd into our preferred secondary because we were able to show that she needed wheelchair access, closeness to the doctor's surgery and the emotional support of her friends (letter from mental health services to substantiate her emotional needs).
The appeals meeting was in several parts: first the school had to demonstrate to the appeals committee that they really were full according to set criteria, then the LEA had to show that no mistake had been made, and then we had to argue that dd's needs were still so important that the LEA should make an exception in her case. It took days to prepare, was extremely stressful (35 families appealed for this particular school, don't know if anyone else got in, most didn't), but in our case was well worth it.
I would only put myself through this if I felt it was crucial for my dcs' wellbeing and education. But then I would really, really go for it.