A Fair and Frank Exchange of Views

My TV Licence expired on the last day of August 2002. So on the 2nd of September (the 1st was a Sunday) I bought a new one, which keeps my TV legal until the end of August 2003. Then in December I got a letter from the TV Licensing people telling me they didn't have a record of me having a TV Licence, but that I should ignore this letter if I had recently bought one. Which I had. So I did. With me so far?
Then earlier this month (Jan 2003) I got another letter from the TV Licensing people which read as follows:

Call us before we call on you

Dear Sir/Madam
Our records show that although we sent you an application form in October, you have still not contacted us.
If you use a television set [...] you need a valid TV Licence.
[Snip]
This address is now high on my priority list for a visit from one of my team of Enforcement Officers. If my Enforcement Officers find evidence of an offence, they will issue a report for prosecution.
[Snip]
Whether you need to buy a licence, or wish to advise us that you have no television, please get in touch straight away. It could save you a lot of hassle if you call us before we call on you.
Yours faithfully
[Etc, etc.]

There was no mention in the letter of there being any possibility that I actually had a Licence already. Which I did. So I thought the best thing to do would be to write a letter explaining to them that there was no need to call on me because I had a TV Licence. Here is the letter I sent:

Dear Sir,
You have recently sent me a letter telling me that my address is high on your priority list for a visit from an Enforcement Officer, so I am writing to inform you that this is not necessary, as I already have a TV Licence. It was purchased from the Blackness Road Post Office, 192 Blackness Road, Dundee, on 02.09.02. and is therefore valid until 31.08.03.
If you wish to see my TV Licence, or a copy of it, as proof that I have one, please let me know. As you might imagine, I am anxious not to have to pay a fine or be prosecuted for not having a TV Licence, because I do, in fact, have one.
I did receive a previous "PAYMENT NOTICE" letter from you in December 2002, but as it said, and I quote, "Please ignore this notice if you have recently purchased a licence", which I had, I ignored the notice.
I hope this letter has cleared things up regarding the matter of my TV Licence to your satisfaction.
Yours faithfully,
[Etc, etc.]

To which they replied:

Dear Mr Campbell,
Thank you for contacting this office.
I confirm that our records show a COLOUR licence which expires on the last day of August 2003 in your name and address. Please accept my apologies for the unnecessary reminders we sent you and for any inconvenience this has caused.
Yours sincerely,
John Willcocks (Mr)
Customer Services

VICTORY IS MINE!
If this fair and frank exchange of views seems petty on my part, bear in mind that a TV Licence costs £112, the fine for not having a TV Licence is the much-advertised £1000, but paying both the cost of a TV Licence and the fine for not having one is surely the worst of both worlds, at £1112.