How to recreate my site from a clunky backup

Hi, here’s my problem.

First, I created a custom wordpress site. It was hosted at a given 1&1 domain: oldurl.com

When I finished it, I wanted to transfer it to another 1&1 domain: newurl.com

What I did was the following.
– with FileZilla I downloaded the WHOLE database of my website (I mean, the four folders called metadata/wp-admin/wp-content/wp-include and the additional php/html/txt files) into my hard disk.
– then with Filezilla I uploaded the whole into the “new” domain directory.

It didn’t work properly. When I wanted to log into the “new” domain wp-admin page, it redirected me to the old one.

Then thinking it would fix the problem, I stupidly deleted the original website. And now I just have the “backup” files of it on my hard drive.

Do you know how I can “recreate” my website by using this files? Thanks in advance.