I have followed the steps provided, How can I load up the wallet I have saved? The image below shows the files from bitcoin core. Thank you guys for the help you have provided me with.

Did you see the wallet with a notepad icon?
If that is what you want to backup make sure to make a copy of that file but if you want to load your old backup that is saved from a different computer just move that wallet under the wallet folder according to your image and copy your old backup and paste it to wallet folder.
Open the Bitcoin core again and it should be loaded.