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Try settings-apps-all-contacts,force stop and clear data. Make sure to have a backup of your contacts before trying this.
Have you synced with your facebook or google account?
What if you filter the contacts and set it to show only google contacts?
I dont know what could be the problem in this case. Try turning on automatic sync or logging off google and syncing again. If no then just send pictures of the people from your old xperia device to z3 and then adding them to contacts.
Hi,
When you say that you sync with Google, do you mean that you sync with Google+ or just your Google account? Do you use Facebook? If yes, have you tried to sync photos with Facebook to see if the pictures appear for your contacts?