You have not contacted Adobe. You have posted to the user-to-user forum. We can help you work through issues but we can't help you get compensation of any kind.
To arrange for a refund, please contact Adobe Customer Support.
As has been pointed out, this is not Adobe. Rather essentially a user to user forum. So, not my call on the outcome. I am just a visitor here.
However be aware
If you buy Premiere Elements 14 download from Adobe and want a return/refund, you need to do that with 14 days of purchase.
If you purchased elsewhere, then you are governed by the return/refund policy of the seller.
In the case of a purchase of Photoshop Elements 13 Mac and Premiere Elements 13 Mac and return/refund whether you purchased from Adobe or not, I see the prospects of return/refund and any perks unrealistic from Adobe. That should not prevent you from trying but through the right channel.It would appear that you purchased the products longer than 30 days ago (the old return policy) which is now 14 days.
You can verify what I believe is your situation, using the Adobe contact link in its documents on product returns.
Please indicate if troubleshooting your Photoshop Elements 13/Premiere Elements 13 issues is a consideration, please post with all the details of your situation.
You wrote that you get the message
Please do not launch this application from within this Application Package. Instead, please launch Adobe Photoshop Elements 13 & Adobe Premiere Elements 13 from your Applications folder".
What happens when you do as requested - please give details other than it does not work - what messages do you get if it does not work and you have done as requested?
Since this is the Premiere Elements Forum, you might want to begin your troubleshooting with Premiere Elements 13 Mac.
My apologies, I thought I was writing my angry stuff to Adobe..