Adobe Photo Elements 13

PS Elements 2013 is 10 year old software. 

As rule, new computers require newer software that's compatible.

Photoshop Elements 2023 (no subscription needed).
https://www.adobe.com/products/photoshop-elements.html

System Requirements:

https://www.adobe.com/products/photoshop-elements/tech-specs.html

you need the matching (for your serial number) installation file.  you can get the install file from the account used to purchase (if you purchased from adobe) or from prodesigntools if you have the most common north american version.

The same way you did the first time... put the CD in the drive and enter your serial number when asked

HOWEVER... old activation servers have been removed from service so you may not be able to activate

You may need to buy the new version http://www.adobe.com/products/elements-family.html

Do NOTE that only a download is available now, so...

Computer crashes happen... the FIRST time you download a program make an external copy
IF/When you do have a download, be sure to copy it to AT LEAST one external device
you should ALWAYS keep a copy (or two!) on an external device
since Adobe DOES SOMETIMES REMOVE OLD VERSIONS FROM THE SERVER
a usb flash drive or external hard drive, or write to a CD or DVD
plus a text file containing your serial number if you have a serial number program