Thank you for the above concise information. Based upon what you say you will have a claim available against the kitchen company for breach of contract specifically for a breach under inter alia (among others) s49 Consumer Rights Act 2015 which requires that they provide their service with reasonable skill and care. You have clear evidence from what you say in your electrical report that they failed to do so.
If they failed to to do so you have to allow them the opportunity to repeat performance - the opportunity to fix it. If they refuse or dont carry out the work within a reasonable time, which again appears to be the case from what you say you are entitled to a price reduction under s56 CRA. The price reduction shall be an appropriate amount to either reflect the diminution of value of their service or such amount that it costs you to put the defective workmanship right. In this case it is likely to be the latter or a combination of the two.
Your claim will be against the limited company you paid so for example it would be XYZ Ltd (Co.No. 12345678) whose registered office is [Address]
You can either address the claim to their registered office or any place of business from which they operate. You should not make the claim against a director personally or it will fail.
I would suggest you consider issuing the claim online rather than using a paper form because it is both cheaper and easier to issue online because the courts offer a discount against the court fee payable to reflect their easier administration. You can use the courts online issuing service at its still an N1 form but you fill it in online and the court issues it for you:
All you need give on the claim form is a short succinct outline of the facts and legal basis of your claim. You do not have much space so you have to keep it to the bare essential facts such as you entered into a contrat on [date] and on [date] you discovered that the workmanship was faulty. You therefore claim breach of contract under CRA 2015 and claim damages in the sum of [£?] together with interest at 8% under s69 County Courts Act.
You can in practice flesh it out a bit more than that but not by much. If they defend the claim it will be transferred from the central online administering court which is Northampton to your local Court to schedule a hearing and your local aourt will issue directions giving you dates by which you need to supply statements and evidence.
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