Q: Is not the higher mind the first plane above our mind?
That is right. It is the first of the planes above the ordinary human mind.
Q: Is the forehead (inner mind centre) a part of the higher mind?
No, it indicates the mind generally. The higher mind is above.
Q: What is characteristic of the higher mind?
It is a mind of thought and knowledge and spiritual perception but spontaneously seeing the truth.
– Sri Aurobindo