newbie question

[ROBBO]

Hello i`m a newbie to this site and i`m acting for my Daughter who has been put in serious trouble due to excessive bank charges .
I wrote to the chief exec of Lloyds requesting that these charges be stopped and that she should be refunded for all previous charges

At the time i didn`t know we could claim back six yrs .nor did i threaten legal action .Athough i always knew that i would use this option if i had to (luckily for me i was directed to this site via a newspaper artical)

Anyway he passed the letter to their so called customer care team and they have written to my daughter saying they would stop this months charges of £150
and offering a a partial refund on previous charges which i think isn`t a bad result but still nowhere near the amount they have taken off her over the yrs

So thanks to this site we are going for the full amount .I dont know the final figure yet i am writting asking for back copies of statements ,

i have a question which i hope someone can help me with i have read the rules of engagement and it tells me i should accept this partial refund and tell themi will be pursuing them for the full amount but i was under the impression that one should never accept the first offer in any negotiations
why does that rule not apply in this case ?

[BankFodder]

Accept whatever they offer you if there are no conditions attached.
If they say that by accepting the money you agree not to contest the rest then you know what to say (not in front of your daughter, of course).

[ROBBO]

Great thank you for your speedy reply I will keep you posted .