As for the P-38J in the service of the 8th Air Force, there were still major problems with the aircraft to the end. The cockpit heating remained a problem and it wasn't until heated flying suits became available in small numbers in March 1944 that things improved on this issue, before then the only partial solution was to procure additional clothing, particularly RAF gloves and boots.
As for engine failures.
Repositioning the intercoolers on the J model led to too much cooling at high altitude and pre-detonation. Oil temperature also could not be kept high enough above 22,000ft and oil consumption rose at an alarming rate from 2 to 4 pints an hour at below 25,000 ft to 8 to 16 pints an hour at 25,000 to 30,000ft. Also oil throwing was so bad engine life was halved. Moreover with the sudden increases of power necessary in combat, engines seized or threw connecting rods.
Yet another problem was that common to all turbo-supercharged aircraft with hydraulic actuated regulators, low temperatures caused the oil to thicken, allowing the turbine to go out of control and fail.
Things got so bad that the two groups operating the P-38J in the 8th Air Force were forced in late February 1944 to make their penetration flights at not more than 22,000ft to avoid the extreme cold.
A number of fixes to these problems were attempted but none were wholly successful and the P-38J still had difficulty operating over 25,000ft.
source: The Mighty Eighth, War Manual, by Roger A. Freeman