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Hello,
The auto sync option is missing from the main screen widget.
How to get it back?
go to settings >> accounts >> select each accounts and then switch the sych on of off .. i guess this s the only way now in this firmware .. i hope sony disabled the auto sych button from the tools widget 
I don't know why Sony had removed this feature...its really useful to save battery.
or you can go to Settings->Setup guide and on step 4 you have the option to toggle automatic sync.