which address should I put in self-assessment registration

I just registered for self-assessment online and was asked to fill in a business address. I have an unlimited company overseas but I work from home in the UK, which is rented so I don't own the place. Should I put my overseas address or the rented UK address ad my business address? Because of this confusion, I submitted duplicated registration requests since there's no way to change my details. Also, when registering I realised my first and middle names in the system (NI) were mixed up. I clicked "change name" online but I don't really mean to legally change my name, it's just a correction of mistakes. Please advise if there's anything else I have to do. Thank you.

Hi,

You can use the rented address as your business address. You can contact HMRC to correct your name or do this in your personal tax account.

Thank you.