To not pay late payment charges?

[PeasinPod1]

Hello
I stupidly opened an account with Very.co.uk...to spread payments over a few months.
Tried to log on (with right password) but wouldn't allow me to, then the reset password link never sent the required reset email to me. I couldn't make payment. I'm often abroad so need to pay online. Thus I was a few days late making payment- this has happened 3 times and I have received £36 in late payment fines.
I have all the evidence of my email trails with them to try and get this fixed and phone logs...even the advisor said I could get them refunded. Their Facebook page is full of angry customers telling similar stories.

Now I've paid my actual balance off in full but left my late payment charges. I've asked for these to be waived- flat refusal.
I now flatly refuse to pay them and have told them I've paid off my balance and explained all my attempts to pay (on time) and as they wont waive them, have no intention of paying the late payments charges.

Question is what could/would happen? Anyone with experience please let me know...thanks very much.

I feel so our pain but any refund of charges would be a goodwill gesture so you don't have the right to be refunded. Surely you could have called to make payment?

Not paying it will more than likely lead to a black mark on your credit history and will prob affect your ability to obtain credit in the future.

Seriously, it's not worth it. You'd be cutting your nos off to spite your face. Pay the charges then Submit a complaint in WRITING

A quick google tells me the sort code and account number to pay Very through your online banking. I'm surprised they didn't suggest this option to you, but it's made clear on their website. I think it's unlikely they will waive the charges, and as Lottie says, it is damaging your credit file.