Kevin Willis has posted the most career points by a 44-year-old player, with 12 points.

most points scored by a player at age 44
NAMEGPPTSMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINREBASTSTLBLKTOVPF+/-
Kevin WillisKevin Willis5128.52.41.60.20.40.20.41.02.638.50.00.00.40.4100.0438121211+6