Is it possible to change the name and picture associated with a Gmail account?

Welcome to Gmail Help Forum..
There are 5 different places where Gmail could be referencing for your profile picture:
In Gmail's Settings
Gmail>>Settings>>"My Picture"
In your Google+ profile
Google+>>View your Profile
Via your contacts
Search for yourself by email address and see what photo appears.
If you have a "Send as" address that is treated as an alias, Gmail would reference the profile photo used for that Google account.
Via another app or mail program, like Apple mail or Outlook.
If you have your profile photo attached to your own contact in one of those program's address books, be sure to change it.
If you go through each one of these and you still can't find the photo, try waiting 24 hours for the changes to take effect.

If your name is appearing incorrectly, here are some things to check:
Your Google+ account page.
Google+>Profile>Click on your name and change it> Save changes
You should also search for yourself in your contacts, to ensure that your name is correct and not misspelled.
Contacts manager> Search for your own email address> Make sure your name is associated with the correct address.
Check the spelling of your name in your back-up account.
If you have a recovery email, Gmail sometimes looks at the name in that account. Make sure it's spelled correctly there too.
Check your name in any Apps or programs.
If you're sending from an app or program, the name associated with that program will be the name that is listed in your account.
Lastly, if you are using a Google apps account, you may need to check with your administrator to see if the problem is on their end.


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