Adobe Reader DC is a free application of Adobe, that doesn't come up as subscription. Also, Adobe Reader doesn't have a ability to edit the pdf document.
I have checked your account and found a subscription of Adobe PDF pack, which is an online service that you can use online through-
Also, you can use the Adobe PDF pack through Adobe Reader DC (desktop application)
As you have mentioned above that you were trying to edit the document and its not working. Because Adobe PDF pack doesn't have the "EDIT" tool feature in it.
In order to edit a document, you need to subscribe for Adobe Acrobat DC service- Adobe Document Cloud FAQ