Sorry that the purchaser has now withdrawn, although doubt if it was much to do with the 5k difference.
Problem is, even if they had accepted, nothing to stop them waiting to nearer completion time, before coming in with a much lower offer.
That is why the law on this needs tightening up to make up similar to that already in place in Scotland.
My house went on the market at beginning of July last year - very few viewings - which, at the time I put down to the extremely hot weather last summer. Now I realise that is a bad time for house viewings.
Also the EA I used, vastly over-valued the house and, although I pushed down a bit, I still felt it was too expensive. So, after six weeks (and as many viewings) they suggested a reduction - even then to more than I felt was correct.
When I am looking at properties on Rightmove, I am a little suspicious of those that have been there for some time and then reduce. So, when they then suggested a second reduction (nearer to the price I had originally suggested), I just pulled the plug on the whole thing.
Went with different EA's when I put it back on market in Spring this year, and they also came very close to my estimate of price - and we have had lots of viewings, and several offers.
It was unfortunate that the Lady who really wanted it , had her own purchaser withdraw, so her property is back on market - and I have now been persuaded to accept an offer (slightly above hers) from someone different.
Marketing it at a genuine price for what it is and where it is has made so much difference - although still have had several 'silly' offers.
Give it a couple of more months, but in the meantime, sort out some of the major problems and be prepared to spend the winter there. Then next March put it back on the market with lots more details to hand (re costs of work needed), and use a different EA and a realistic price.
As I have said previously, work out how much you will need to move on.
Good Luck to you and to me, and all of us in the horrible process.