Yes as long as you can meet the same conditions if checked on reentry then it’s fine. Which is why the soft route is not such a great idea I don’t think.
because it was issued by UK, which is what you need to put. I have seen it before on replacement passport as place of issue being different to issuing country. It’s the issuing country that has to be used and NOT the place.
If you had issued in a different country to your home Courtney you HAVE to put your home country. This is one of the reasons they can reject for what you said.