It will take some time to install your applications and test them to make sure they work on your new Mini. If you encounter problems, you can post here.
When everything is working on your new Mini, and you are ready to try Mojave again on your MBP, I would suggest following. First, it would be helpful if you can post what SSD model you have. The following link has information on running the "System Information" app.
https://support.apple.com/en-us/HT203001
In this app, there's an entry for "Storage". If you click on this, both your internal and external disks will appear on the right. Click on your internal disk and what should appear in the bottom right is the "Device Name". If you could post that, it may be helpful if the installation doesn't work again. If the Mojave install doesn't work again, it would be more difficult to get this information so it would be good to get it while El Capitan is working.
Then I would then suggest you do a clean install. If you have a USB flash drive (12GB minimum), you can try a bootable installer. There's information on preparing the bootable installer at:
https://support.apple.com/en-us/HT201372
On the following link, there's instructions on erasing the disk which would be good if you are going to sell the MBP. The instructions also include how to reinstall macOS. You can start from Step Two (Step One was covered in the previous link).
https://www.howtogeek.com/186860/ho...your-drive-and-create-usb-installation-media/
See how this works. The problem you initially had may be due to what was on your SSD before so these steps should fix it if that was the problem. If you still have problems, the information on the SSD model would be helpful and that's I'm asking that you post that.
I know you're busy so whenever you get around to doing this that's fine. I just wanted to post my suggested steps so if and when you want to try them, it's available.