Mondeo goes out!!!Help!!!

Hello I have a little problem. I drive a Mondeo tournament 1.6l BJ.93, drive this car for quite a long time and now the first (real) problems come and I don’t know what to do. 1: The car goes out in the cold condition.I drive a par meter and when I step the clutch the car goes out. Speed goes under 500, then it stutters and goes out, but then does not start immediately again but it takes a par second until it starts. n spoke to a Ford mechanic who then told me something about an oil pressure Ventiel, he probably knew the problem exactly.However, the repair would cost around 600€.Can this really be because of it, or can you fix it somehow differently? Before all cheaper! The engine runs otherwise TipTop, if it is warm! I have to say that the dare now, we have often driven with it on holiday, has already run almost 300000km. I made new TÜV and AU, have AU abe r only passed the second time.Why always, I have not changed.The values were too fatty. Is the engine ready? 2.The heating is no longer warm, thermostat has been replaced hoses are also hot only the heat exchanger not.Can that really be that of the calcified? or what can that be? I hope that anyone can help me here!!! Many greetings Raphael