440 1.8i runs restless and rough in cold or wet weather

hello together, drive a 440er 1.8i with 90ps and have the problem in cold or wet weather that the car runs totally rough and restless. when giving gas sit everything great, but as soon as you walk off the gas and let the car roll in the still gas or on straight track only with even gas the car runs as said totally rough, restless and constantly vibrates. in warm weather and sunshine that does not occur at all… I recently had the error memory read out, o-ton: “A vacuum air temperature sensor false/no signal” … can this possibly come from this? has any of you had similar experiences, possibly also with another vehicle, and can give me a tip? thank you oh yes: spark plugs and cables I have also renewed…