You shouldn't have to reload parameters to the turret since you lost data on the CNC. The MR-J2 has a separate battery to retain the parameters in the drive.
To reload MR-J2 parameters;
Go to the start menu at the bottom left - Programs - MR-J2. Go to SetUp-Axis - Axis Select - and choose Turret. Select Parameter then File and Open. Under the MRJ2 folder on the harddrive there should be a backup file for the turret. Choose this one. Once the parameters open click on all write to write the paramters to the hard drive.
To Restore ABS Position;
Do the same as above only instead of writing parameters to the drive click on ABS Pos. Repair. If this button is grayed out you will need to contact Mazak on how to set the home position.