Yes, it comes with a cooler

I asked myself the same question before ordering. For me, one was included in the scope of delivery.

The chipset is on the mainboard. The CPU needs a z790 or b760 chipset.

Yes, it is suitable - a graphics card is simply required.

nein...hier mehr specs zur cpu....https://ark.intel.com/content/www/de/de/ark/products/230501/intel-core-i513400f-processor-20m-cache-up-to-4-60-ghz.html