I'm sorry that you ran into trouble with this. Kits can only be edited from the Typekit account that created them; it isn't possible to share them between different Adobe IDs.
Send us an email at firstname.lastname@example.org with your account information, and we can help you transfer that subscription to a new owner at the company, though.
Creative cloud for "teams" **
**teams may not include multiple people, consult your doctor before taking photoshop