Your father's next of kin can obtain his service record from here:
PMA(Sec)1b(RAF)
Room 5, Building 248A,
RAF Personnel Management Agency
Raf Innsworth
Gloucester GL3 1EZ
Offer as much detail as possible such as complete name and service number.
If your mother is still alive she can get this information at no cost. If you apply there is a charge of £30.
The information contains alot of abreviations but most of these can be resolved on the internet by searching for 'RAF acronyms'.
I did this for my late father and it proved very useful.