filsgreen":2843gki4 said:...............
In the final paragraph you have used "and" twice in the same sentence. Try to avoid using the same word several times in a sentence as it is bad grammar. Instead of this "I can work very flexible hours and I have my own transport and have been a UK resident my whole life." You could write. I live in Finchley, have my own transport and willing to work flexible hours. You also repeat yourself by asking to be hired, I would omit this.
Finally, if you are using a spell checker make sure it is the English version. I hope I am not being too pedantic here and good luck with your job hunting.
Phil
PS. Pound to a pinch of salt that I have made errors
To be even more pedantic, there is a verb missing. It should read "I live in Finchley, have my own transport and am willing to work flexible hours". Each of these 3 points should be able to stand on their own after "I".
Please do not send out letters addressed "Dear sir/madam" - it makes the reader feel as though they are just part of a "job lot" whereas you want to be addressing them personally. Make them feel special. Even employers have feelings! Find out the name of the person you are aiming the letter at and address them by name. Then sign off with "yours sincerely". If you insist on using the sir/madam approach, sign off with "yours faithfully". Sign the letter personally, not a printed name - again you are adding the personal touch.
Your letter is getting better, but has become a bit long and runs the risk that the reader may not even bother to read to the end. Put your qualifications in your CV. The aim of the letter is to get you a meeting with the reader - nothing more! You can discuss the content of your CV when you are face to face.
Follow up the letter with a telephone call 2 or 3 days later. Too soon and they may not have received your letter, and if you leave it more than a week they will have forgotten you! Say something along the lines that you wrote to them a few days ago and you would like to call in and meet them. Would they be available next Thursday morning at 10 o'clock? Do not beat about the bush asking whether they have received your letter - regardless of whether they say yes or no - so what!? No matter whether they have or haven't, the aim is to get a meeting and your assumption should be that you are going to get one . If you name a day and time it more likely they will say "yes", or that they are not available and that Friday would be better. You need to lead then to the right answer, which is "yes". If this approach fails, thank them politely for their time and say thay if they don't mind you will contact them again in a week or two - do not let them off the hook. The only way that they get off your prospect list is to hire you - and even then you keep the information for future use in case it's needed.
P.S. Just noted that StevieB has made the same point about putting your qualifications in your CV.