I would be grateful for any advice. Sorry for the long description but bear with me.
I have lived in my current borough since 2002. We have been looking for a family home after our marriage and arrival of our son within the same area and made a purchase on a property a mile down the road from where we lived (still in the same borough). The purchase completed in Aug 2015. This house was in no habitable condition and we submitted planning application for renovation and extension to be built and it is currently a major building site. We have applied to a school for our son based on the new address but informed the council at the outset that we will move in once the building work has completed. We sent all the documents about our planning application approval letters etc. We were offered a place at a school for which we are in the catchment area for. However, our neighbour's child has missed out. They have made contact with various people (LA, school headmistress, local MP and solicitors) and have been offered a place at the same school as our son after the admissions office supposedly admitting that they had made an error. We have subsequently received communications from the admissions office asking us to clarify our situation with regards to our new house undergoing renovation and about our residency at the address. We are concerned that they might take away our son's school place nearly a month after it was offered/accepted as they have now offered a place to our neighbour's child on the basis that we have not physically lived at the new house, although they knew this from the outset and sent all correspondence to the address where we still reside whilst the building work continues. Can they withdraw this offer?