|Jeff, the new areas are not contagious. A simple way to remember this is, once you see a bump, your body has already absorbed the oil and you cannot be contagious to anyone after the oil is inside the skin cells. Only when it is on top of your skin is the only time you can rub against someone and give it to them. Finding new spots while having older areas of rash is very common. It just means those areas absorbed less oil so the reaction was not as immediate. The thickness of your skin factors into breakout time also.
When the oozing stops is when you will start healing, even though it will still look very red and even raised and leathery. Unfortunately healing itches too to some extent. When the fluid dries up then you need to start moisturizing the area so the skin layers underneath can heal properly. If you continue to dry it out, you might experience cracking of the skin, infection, or a dry skin rash. Use a good unscented moisturizing cream or lotion until new skin appears and redness is gone. firstname.lastname@example.org