I want to move my wordpress theme to self-host exactly how it was

Hey,

I am trying to move my wordpress blog to a self hosted website. I managed to moved all the content, widgets and the followers. What I want to do is to be able to set up my “Button” theme the same way it was because after moving the site to self-host, the theme customisation doesn’t have the same settings as it had. Simple thing as changing the main titles’ and menu options’ colour doesn’t work. (Of course, I want to do more things than that.)

Also, is it possible to move all the stats I had and blog posts likes as well?

Thanks