Photos copied via bluetooth from LG 4X HD to Xperia Z are no longer sorted
It seems you have lost your folder structure ("albums") due to the Bluetooth transfer. A possible solution would be to copy not over Bluetooth but rather with a Computer (USB) or over Wifi and a network share, to retain the folder structure.

There are many file managers available in the play store which can use network shares. You may also consider using DropBox or that kind of service.