Has anyone done this?
How to downgrade Galaxy S3 back to Android 4.1.2: tutorial [Update] - AndroidPIT
How to downgrade Galaxy S3 back to Android 4.1.2: tutorial [Update] - AndroidPIT
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Why do you want to downgrade 4.3 to 4.1.2.? What is wrong with the new versions?
As long as you are flashing a previous version through a custom recovery you will be fine. If you have taken the OTA then you have the Knox bootloader and using Odin to downgrade will brick your phone because the bootloader is being replaced.
Yeah you can root verizon 4.3 without any problems but as far as i know the bootloader hasnt been unlocked yet so even if you wanted to, you cant flash anything unofficial onto it. Not even a custom recovery which sucks![]()
I dont know about the other issues but the Maps thing is nothing to do with 4.3, the app just got updated. Theres probably old versions kicking around as APKs.
Lockscreen, i dont use one but have you tried a 3rd-party one?