thanks for your query at hcm.
When mucus forms in nose it will dry up and form the crust when ever we try to remove these crusts it will cause bleed.
This might be reason for the bleeding.
You can use nasoclear nasal drops that will decrease crust formation .
Yellow to white color conversion indicate that infection is decreasing.
For the rash
keep the area clean,and dry.
Use rash free cream that will decrease symptoms.