I moved your post here.
A good place to start would be to read the Q&A on oversubscription appeals:http://www.elevenplusexams.co.uk/appeal ... bed-school
Appel process is so unreliable. Not sure weather we be called for one even.
You need to start off the appeal process yourself by contacting the school(s) or Local Authority (your letter from the Local Authority informing you that the places had been refused should tell you who you need to contact) and telling them you wish to appeal.