Oh yeh and traveling is pretty cheap in London, the only transport worth using is the London Underground, you can get day passes for about £5.00 i think, im not sure how much week passes are but it will be cheaper than getting a pass every day.
$30x30(days there) = $900 (this is hostel stay)
you have $1100 for your spending the whole month. just to give you a rough draft on how much money you will have left. I also assumed the hostel stays a little to much I think. You could definitely find them cheaper.
Your trip should be great, get all your shyness out on your trip, and go out and me new interesting people out there.
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