You will need to obtain a new UK visa before you can be approved for citizenship in Antigua & Barbuda; all other diligence matters are acceptable. You can submit the application; however there will be no approval until you show a new valid UK visa.
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How can I apply for CBI in Antigua and Barbuda if I have a previous UK visa rejection?
I'm an Iraqi citizen, who had a UK visa rejection 5 years ago for a simple reason (my bank account showed low earnings versus my income and monthly expenses.) Can I still submit an application to Antigua and Barbuda for a second passport ?