Is it dangerous to your health if you break out in red splotches and feel very sick after you shower?

Yes

Explanation:

You might be alergic to water, other wise known as Aquagenic urticaria. It is not that common, but before taking any further actions, you should tell your parents and visit the doctor. It is very rare and any water including purified or tap may be like viruses to your skin.

you may having too much sleep.. a good night sleep consists of about 7 hours. more than that could be the reason you're still tired throughout the day.

because health skills are tools and strategies and also practical skills are also something you need to learn (like tools and strategies) and put it in reality.