First job on ANY just acquired LS 430 has to be installing a separate transmission cooler.....
Even with Full Lexus Service History coolant can corrode into transmission heat exchanger in bottom of radiator.
Aftermarket Kit is about £100 from Paul Frost and is easy home install.
My tuppence worth, as shade tree mechanic, when re-filling 6 speed transmission after changing filter ,fill from filler plug on side of gbox same amount as you drained out , and then remove check level plug in pan, if tube inside is in place, it should run out until level is correct. I do this cold.
I know there is a toyota/lexus measure at temperature ‘ceremony ‘ but if level is correct at cold, the hot fluid expansion is not going to hurt. In my experience of Town driving and several high speed tours have shown no detriment to smooth shifting.
Also These Iridium plugs do 80-100k miles ,these days a regular plug change is not so important,.....you are just showing your age........when I was a boy...every 6000 miles....gapped and cleaned....