Not sure what to call this, irritated skin?

Whenever I wash my face, with the exact same face wash the last several months, I've been feeling like my face is super dry.

Same thing in the shower, exact same soaps and shampoo. My face feels like it's itchy from being dry.

Once I put on moisturize I'm okay.

Last week for the entire week my eyes were constantly dry.

I'm positive it's the weather doing this.

Has anyone gone through this? What have they concluded?