Well, I drained the cooling system, a lots of brown stuff came out. I then took out the radiator and ran water through it and a lots of rust came out. After some good rinsing I think I managed to get most of the stuff out. Also the front part of the radiator had bugs and small rocks stuck between the plates. I cleaned it as much as I can. In one spot it has hit something bigger and the tiny plates have melted a bit, but I hope it won't cause any problem. I assume there's more of the rust inside the cooling system. Since thermostat looks like is sealed with silicon sealant that I don't have, and since I need car tomorrow I didn't take it off. The best I could do is put it together, fill it up with water, run it, so that water pump runs it around the engine, and then drain it. After some times it started to get cleaner (it got too dark to continue). Probably will have to continue it another day.