Hello and Welcome to justanswer...
From what you describe it seems you may have a faulty ect sensor . This is the engine coolant sensor... This sensor tells the ecu - the management computer the temp of the engine and the ecu fuels the engine accordingly -- hence if the sensor is faulty , as is a common issue - the ecu fuels the engine all wrong and causes mainly starting problems.
The ect sensor is quick and easy to change and fairly cheap so it would be worth doing that straight off....
After that - IF you still had troubles - you would need to have a diagnostic test done on the car to see whats going on diagnostically... but Im honestly sure the ect sensor is the culprit here..
I sincerely hope I have helped you ~ please ask me if you need more help..
Best rgds... MIKE
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UK Car Mechanic
Hi, I am a Car/ vehicle mechanic of some 32 years. 25of -running my own repair/diagnostic business.