Scab is a notifiable disease.
It is in Scotland from about a year ago but I hadn't heard that it had been put back on the English list. The vet didn't mention it when we discussed the problem earlier today.
Well, blow me down, you're right. Scotland only it is. You learn something every day on this forum

(Maybe I did know but had forgotten. It happens

)
So what did the vet say?
Several years ago we had itchy, scratching, wool-losing sheep. Vet could find no evidence of scab, nor of any other beasties - but did say it can be difficult to find the causative agent. To cut a long story short, we eventually concluded it had been biting lice, as Dectomax didn't clear it up. (Dectomax does sucking lice but not biting lice.) Crovect does biting lice, so we did the whole flock with that, which sorted it out. You had to get the chemical right down onto the skin, though, so it was very hard to do it effectively when they were in full fleece.
According to NADIS, chewing (biting) lice are most prevalent Jan-Mar, so that might be what you have.
I assume OP dip will sort the problem, but I don't know if that's advised in pregnant sheep - which I assume they are? If you don't have your own dipping facilities, I'm not sure how you would get them dipped - no farmer with dipping facilities is going to want someone else's itchy sheep coming through his pens! I can't remember what breed you've got? If it's a short-wooled breed you might find someone with a sheep shower prepared to douse them. (I don't think it's thought to be very effective in long-wooled breeds.)
If it's scab, I think you need to treat the whole flock, yes. And I think scab mites will persist on fence posts etc for several weeks, so you might have to think about preventing reinfestation.
And of course if there are any sheep on neighbouring land you should let the livestock keepers there know so that they can take timely action too.