boka,
My guess is yes, you are pressing too hard, but really I don't have a clue. If you have just started wet shaving it is possible that you are experiencing some sort of exfolliation as an extremely sharp edge drawn across the skin probably removes some of the dead skin cells (epidermis) as well as whiskers. How does your face feel after your shave? comfortable or stinging? Is it red and blotchy? What is the condition of your razor? New? Honed by someone with accepted credentials?

More details please for the experts here.