I agree with this.
I am sorry your DH is ill and can't work at all.
But looking at other posts you have, and your own admission that you have a bad credit record, it's coming over as if you could budget better.
As others have said, your bills are on the high side- the heating for a start, (you're living somewhere that is generally mild not freezing cold) food (although it's not hugely so) and you have pets.
What struck me though was that your DD (finishing her A levels?) can't get work. From where you've said your location is, it's hard to believe she can't find weekend work in hospitality, or even work like babysitting/ pet care/ for neighbours.
Then there's her expectation that you will pay for a trip to the other end of country because she wants to see some museums- a trip of almost 400 miles plus accommodation.
Seriously? Why are you even considering paying for that? Does she not know you're finding it hard?
My parents paid for nothing for me as a teen because they couldn't.
From 16 I had Saturday jobs , paid for my own clothes (bar school uniform), my social life etc.
You say your DH gets PIP- so how much is that a month? What does that take your £62Kpa up to? Some people get hundreds of pounds a month on PIP.
You've not said what the total family income is annually including benefits.
If you've not done it already, can you take a really careful look at all your outgoings?
Mobiles- any cheaper offers?
TV- are you paying subs for Netflix etc?
Utilities- have you searched for a cheaper deal and tried Switch?