Since my right nostril is making crust in and around and I don't know why, I just want to know is it ok to remove it when it's not too painful?

Many. Dry nose and scabbing can be due to excessive picking at nose, allergies, bacterial infections, and others. Avoid picking the nose, use saline nasal sprays, humidification, a small amount of vaseline in the nose and consider the use of intranasal antibiotics. You may need to see your pcp or ENT for evaluation. Humidification, humidification, humidification is the answer. Lots of saline spray!
Gentle picking is OK. Unlikely to cause damage if done gently. Also OK to remove nasal hair. Wetting finger before picking also OK. Might benefit from a little vaseline after picking. Certainly consult with your Dr. If problem seems excessive.