Looking for HELP

I just bought a new computer. My old one worked ok but it was slowing down. I have many files. I bought an external hard drive to back up my computer. It seemed to work.  Then I hooked up to the old
computer and it appeared hard drive info was going back to old computer. Took a long time. I then
hooked up the external to the new computer and it seemed to load pictures. Then nothing happened.
I went looking around for the pictures and they are no where on the new computer.

I'm getting a Cameo for Christmas, I need to get all the svg files , zipped files .and put some kind of system on the new computer. Any help would be appreciated.
DawnRI
Clueless...