Originally Posted by pdes
Sorry to bump but there must be a "big-brain" out there with an answer!
Titanium backup can restore everything, even homescreen icons (restore data for Xperia Home), but the full version is not free and it needs root.
Sony Xperia Tablet Z SGP321
OS: Android JB 4.4.4
Rom: Stock, rooted
Recovery: XZDualRecovery (CWM+TWRP)
MicroSDHC: SanDisk 32GB Class 10 UHS-I