I'm a bit lost in your description. The MacBook Air systems use a blade SSD (PCIe 2.0 x2) there is no HDD. The [https://eshop.macsales.com/shop/ssd/owc/macbook-air/2013-2014-2015|OWC Aura Pro X2] should be fine.
What is the “'''''Option Board”''''' are you talking about? The [product|IF188-092] so I'm not sure why thats in the dialog here. It maybe you have issues with it as well but thats not going to effect the SSD drive.
Here’s the iFixit guide to gain access to the SSD in this system [guide|38535]
Your next statement on using Disk Utility has me scratching my head '''''“Disk Utility, the disk utility is unable to recognize anything but the 2GB internal memory.”''''' Disk Utility can’t see RAM are you looking at the virtual disk in RAM the installer is using? If you can’t see the drive then either the SSD is not properly seated or its possibly bad. Or the OWC Aura Pro X2 may need a firmware update.
But, I’m thinking you maybe booted up in the wrong OS which is messing you up. Let’s try this again this time let’s press the '''Command (⌘)''' and '''R''' keys that way you get to what the system had before.
'''Reference:''' [https://support.apple.com/en-us/HT204904|How to reinstall macOS from macOS Recovery]
Are you able to get to disk utility under it and can now see the drive? If not lets get a snapshot so I can see what you have [guide|21499]