Those latter two keys you're going for are in the user dictionary, so try
t[@"user"][@"screen_name"];
t[@"user"][@"profile_image_url"];
The second issue will appear when you solve the first. The url is a string. To get a proper NSURL you'll need to use an NSURL class method.
NSURL *aURL = [NSURL URLWithString:t[@"user"][@"profile_image_url"]];