Crankcase (pcv) problems of the 2017 Chevrolet Trax

My 2017 Chevrolet Trax experiences intermittent engine rough running, hesitation and loss of power when accelerating from a stop. It runs especially rough around the shift into second gear. At idle, such as in a drive-through, the engine shakes and the rpm repeatedly drops and rises as though it may stop. This is near-stalling; I have not confirmed a complete engine shutdown. The unpredictable hesitation and loss of power when moving away from a stop raise concern that the vehicle may not accelerate adequately to clear an intersection or move with traffic. We drive it only short distances around town, not on the highway. Symptoms occur more often during or shortly after rain and in cold weather; it can run normally in warm, dry weather. Check-engine and stabilitrak warnings appear intermittently during these episodes. The current symptoms were present before the October 2025 turbocharger replacement and continued afterward. The exact date they first appeared, and whether the warning lights preceded the symptoms, are unknown. There is a documented history of engine and turbocharger repairs. In February 2021, at approximately 91,586 miles, a Chevrolet dealership confirmed a cylinder 2 misfire, low compression, a cracked piston and a cracked turbo housing. All four pistons and rings and the turbocharger were replaced. Handwritten notes also document pcv hose replacement. An independent shop replaced the turbocharger again in October 2025 at approximately 195,510 miles. Its invoice records the complaint that the vehicle sputters when taking off from stop signs. Those symptoms continued after the repair. On October 6, 2026, at 197,216 miles, an o’reilly scan recorded stored p0304 (cylinder 4 misfire) and p1101 (intake airflow system performance). A separate shop’s scanner also displayed stored p0304. These scans document codes, but the cause of the current intermittent problem has not been diagnosed. Another cracked piston or turbocharger failure has not been confir.