Look up “three modes of heat transfer,” and you will learn about convection, conduction, and radiation. More than one at a time can be relevant. First part of your question I would say yes, radiation from the sun can be felt on your face, easily evidence by holding up an object to block the sun and you will instantly feel cooler- too fast to be explained by air movement. As to the second part, also yes. We feel warmth transferred to our face by warm air even when we can’t see the sun. Both modes can transfer energy to us in the form of heat.
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