You probably burned your face using undiluted tea tree oil. Essential oils are pretty strong and usually require being diluted with a carrier oil before applying it to the skin. If you haven't stopped already, please do before it gets worse.Like 2 weeks ago my face randomly started to feel dry and it was stinging sometimes even when I sweat . It would stop for a little when I washed my face but then come back. I started applying undiluted tea tree oil to my face morning and night. After about 2 days I realized I had gotten darker from it. At the same time the corners of my nose started to get darker and now it seems permentant. Idk wtf is happening.
As for the dry skin and tingling, you may be using harsh products or tools on your face which is working against you.
My skin starts to behave similarly when I'm too rough on my face so I have to do everything as gentle as possible.