First of all, you need to open the pop-up menu, pressing the upper right corner of the cafe screen. 
 
If you want to change the name, press the green button to the right from your name.
 
 
If you want to change the photo, press the avatar button. Note that the photo can be only downloaded from your Facebook account. In the window which will open after that, press the “Load from Facebook” button and your photo will be changed.
 
 
To delete the photo from the game, you can do the following:

1. Temporarily delete your Facebook profile photo.
2. Open the game, press the upper right corner of the cafe screen, press the avatar button.
3. Click Load from Facebook. An empty picture will be installed in your game profile.
4. Bring back your profile photo on Facebook.