Re: SASE
If my experience was anything to go by you'd also have to ring them up after a couple of months to ask where your licence was and that yes you had in fact paid the £90 processing fee* so maybe they could do their job. Despite their claim that everything was proceeding correctly my licence mysteriously turned up the next day.
As the regulator for a high tech industry the CAA seems to be stuck firmly in the 19th Century. It takes them a month to send you the results for multiple-choice exams that are designed to be marked by a Babbage Difference Engine and combined Ocular Reader.
*Something like that I forget exactly.