Without wishing to cause offence, I'd venture that Jonathan King is a paedophile by any stretch of the word.
Lay definition:
Oxford dictionary defines 'Paedophile' as 'n: A person who is sexually attracted to children' and 'Child' as 'n: A young human being below the age of puberty or below the legal age of majority'.
Although, he is probably better described as a 'Pederast', 'Pederasty' being more specifically 'n:Sexual activity involving a man and a boy.'
Legal definition:
Under current English law a child is any person under 18, but has only been so since 2004. It was 16 at the time of the offences.
Mr King was convicted of indecent assault, buggery and attempts to commit same, against 5 boys aged between 14 and 15.
Of course, 'paedophile' is not the current 'on message' term in law enforcement. In front of the boss it's 'child sex offender' and on a fag break it's still the time honoured 'nonce'.
Medical definition:
The description of the psychiatric diagnosis of paedophilia included at the wiki link provided by Tempus Fugit has been incorrectly copied from its source, which is clear that sexual interest in pubertal children is included in the scope of the disease.
So, by colloquially, legally, medically and I'd argue morally, the cap fits rather well.