Peugoet Boxer 250 2.2 HDI Cooling liquid in the engine compartment leaked out everything fully and cracked in the exhaust slurry

Hello hope someone knows about it and can help me ?? And we have the following problem with our Peugoet Boxer 3 / 250 / 2.2 HDI 88kW 120 PS Baujar 2010 and box van. We drove a week ago about 1200 kilometers before we left I had oil control again. The workshop had poured about 500 ml of oil and about 1.5 Lieter cooling liquid. However, this on that day also nothing special noticed. Yesterday I wanted to refill disc water The cooling liquid tank was completely empty so I looked at the engine compartment more closely and see, between the engine and the radiator in the middle everything is completely soaked and this really heavy. Unfortunately, I can’t locate where exactly between the engine in the middle and the cooler must have run out or sprayed. So I ask myself what is sitting in the front of the water pump, thermostat? Oil is normal black and no mud sees so from the oil he r normal out. Then I noticed the rear driver side is fitted a hose with a sensor, this is torn. At the crack soot tracks formed. The hose goes in the back top head in the engine. What happened here just finished because we bought the car and have already converted half to the Womo. I attach a photo of the rear torn hose to my post. What is this hose? Thanks to all who can help me ??