Hi T Baker and welcome to the Gardenhelper
Sorry to know your rubber tree isn't fairing well,
Your rubber tree has gone thru different changes ~ number 1,shock

from the move,,, change of lighting. temps etc, and too much water,,,,, this would account for the leaf drop,,,,,, it takes a little while for the tree to react to too much water changes in humidity lighting etc,,, that's why leaves started dropping after you held back the water,, it wasn't due to lack of water but too much water and changes instead.
I have a rubber tree I water once really good every two weeks or so , IF questionable you can put your finger in the soil if it is dry at least 2 inches down then water,, but make sure you have proper drainage and again don't let it's feet sit in water.
Your right about niching the stems to promote more branches,, and new leaf growth is a good sign that it's recovering,
Allow it dry out somewhat before watering again,, you need to give the roots time to "regroup" sort to speak",, it won't be long before it's leafy again,,

be patient and watch the watering :wink: