Hello, I am Keith, one of the experts on Just Answer, and pleased to be able to help you with your question.
Closing down companies is a bit of a palaver these days. Your easiest solution is to sell it off as a going concern. There is a ready market for established trading companies and you can even do it on eBay.
If you are going to practice medicine as a sole trader you must register for self employment with HMRC. They will send you a self assessment return form for completion at the conclusion of each tax year [5 April] and any tax and NI due must be settled by 31 January the following year. Guidance as to the procedure to be adopted is available here:
Good record keeping of income and expenditure should be maintained when you are self employed.
I do hope that you have found my reply of assistance.
A company's name can be changed, the fee is, if I recall, 50 quid, but it can be less. Information on this subject is available here:
Just try selling it as it is on eBay and let the buyer have all the palaver of changing the name. Most company's Articles of Association are very widely drawn these days and cover just about any activity that isn't immoral, illegal or fattening to quote Socrates!.
Thank you for your support.