Welcome to the Adobe Analytics product and the community!
The screenshot you attached seems to be broken but I assume you have the required Admin rights. Only admins can create and edit other users in the company. To save the changes as a security measure Analytics asks for your password. You can try logging in through the login page https://my.omniture.com/login/ and see if the works.
If you are facing issues with your password let me know I will connect with you privately and sort it out. Thanks!