You have all my best wishes.

I am still surprised that you do not
have a cold start problem. When you
start in the morning does the engine
temperature blue (cold) light come on?

I know you are in a hot temperature
zone but still there should be some
heat required by the catalytic converter
before it reaches 750 degrees.

One more thing you need to rememeber is
that these batteries should not be fully
charged or discharged to prolong their life.

When you charge from the wall the charger
should be intelligent enough to sense 80%
charge and then turn itself off.

I guess in the battery power meter in the dash
80% charge is shown as full charge and 30%
charge as zero charge.

Your step by step improvement plan looks
practical. Do keep us informed about your
progress.