Personally, I think a lack of pressure, if the levels are good.
There is no reason that it illuminates. If these are the sensors, so good. If it's real, it's trickier. must know why the sensors (which are above the engine) are not getting enough pressure. For oil, this may be the oil pump, oil is too thick, or dirty filter.
For water? It is strange that at the same time, unless the lack of oil does water react..
I was you I would do in order: a drain with a recommended oil, good quality, if this continues, a pressure test in a garage and if the pressure is too low, I would check the oil circuit!
Good evening and thank you Robin, actually I did finally drain last month, and since the lights no more panic. The oil was very dirty and it was, as you say, interfere with the sensors. I made filter and drain.