Thanks for your email.
In the first instance make a complaint to the firm's senior partner to say you are not happy to pay costs due to the solicitor's negligence. If there is any suggestion of negligence on the part of the solicitor see what the firm has to say about it, they may make an offer on fees.
If you are not satisfied, or you can do this in the first instance if you wish, you can refer the matter to the Solicitors Regulation Authority.
I hope this helps.
If the solicitor is refusing to respond then go straight to the Solicitors Regulation Authority.
Contact the court to see you you can have the court confirm in writing the judge's comment regarding the solicitor's negligence.