Based on your description the skin condition, it appears that you have Seborrheic dermatitis. Sometimes they co-exist with dandruff and can be determined with more precision during a consultation. A photograph will add in obtaining better recommendations. Kindly consult a dermatologist for exact diagnosis and treatment plan. It is also important to prevent their relapse once you have got it cured
Next Steps
Nizral or Conaderm are good budget shampoos, It will help in scalp symptoms.
Health Tips
Meet a Dermatologist.