What am I doing wrong? ( moving to another host)

[93Corvette]

Wow, I can't beleive I have worked over 12 hours today trying to move my website. I can't beleive this is so hard....

So what am I doing wrong?
So I'm trying to move my website to another host. I have copied all files to my public_html file and it seems to look correct. Now I am trying to do database. I used the following procedure to backup my database on my orginal website by going into cpanel and using phpmyadmin. I copied these three files to my hard drive. Then I go to my new website cpanel and run the Import per the below directions. However, I can't make a directory to make it look like the orginal (no permission as you can see in pics).

I have submitted 4 trouble tickets to my host, but they want to charge for move the site. I really don't mind paying, but I'm one of those guys that want to learn how to do it myself just in case I need to do again. So, that's why I haven't got anywhere for 12 hours...
So, what am I doing wrong... Is there any tutorial that are as easy to understand as the ones below (if they had worked)?
Thanks in advance for any info you can provide.

The directions I used:




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The snapshot of the old website thats working that I want to move:

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The snapshot of the new website showing I have no permissions: