Good, this is normal to happen when you switch domains. This is not a uCoz issue. If you have attached your domain to the Google Search Console, you can check if there are any strikes on your websites. Alternatively, you can contact Google in regards of your issue.
hey i'm joe and i do not work for the company anymore, sorry for the late replies icon by ch-chau
Good, that is why the seo specialist advises that you must stick in a one domain system if you wanted that your website would in the top always. The google indexed your website about two weeks it depends also. In my case it took two weeks but I heard that others makes it to a month or nothing at all.