Purple/red spot on my nose and multiple spots accumulating on my forehead after a week of hot showers. what should i do?

There are many: potential causes for the dermatological findings you describe. It might be as simple as taking cooler showers but it is impossible to diagnose skin ailments over the internet without being able to see the specific problem. If these spots continue, you should see a health care provider in order to get an accurate evaluation, diagnosis and treatment recommendations.