your place could have black mold. i would suggest googling that and seeing if you have the symptoms, also check your house for it, especially in the bathroom around the tub, sink, toilet, anywhere moist. if you have a leaky roof, it could be there too. any moist place you could think of, look there. look at the base of the walls and around window sills too. if you do have it, move out, it's the only thing you can do. as for your clothes and your belongings, soak them in vinegar and wash them ten times, it should be fine. throw out anything that has mold growth on it though.
black mold is serious s**t, i know from experience. it compromised my immunity and i was sick all the time, it even affected my eye sight. it's been a year since and my lungs are still recovering. i never got rashes but that is one of the symptoms.
another thing it could be is that if youve just moved out on your own and arent having healthy home cooked meals, and are relying on quick fixes, things like ramen, packeged dinners, this can also compromise your immunity. not only that, but there are toxins in the food that can cause you to break out. opt for making your own meals with plenty of fruits and veggies.