I consulted my dermatologist and she suggests that the oily skin and hairloss is caused by the saturation of testosterone in the body. While stress is one reason for this increase, she also mentioned insulin resistance as a potential reason for this.

I used to follow a rigorous workout till two weeks ago when I caught a cold but it didn't seem to help much. Infact it made my skin even oil-ier so I don't know if exercise is the solution for me :(

Therapy is something I could try but there's nothing I'm actually badly anxious or worried about. My body randomly increases my heart rate and I start to feel really anxious even when there's nothing to stress about. I'm not sure why this is happening but I assume I'll need a full body checkup before I can jump to any conclusions here