Statement 1: The Chinese pilgrim Fa-Hien did visit India in the 5th century CE and recorded his observations in his travel accounts. However, there is no evidence to suggest that he attended the fourth Great Buddhist Council held by Kanishka. The fourth Great Buddhist Council took place in the 1st century CE, much earlier than Fa-Hien`s time.

Statement 2: The Chinese pilgrim Huen-Tsang did visit India during the reign of Harsha in the 7th century CE. Contrary to statement 2, Huen-Tsang found Harsha to be a patron and supporter of Buddhism, not antagonistic to it. Harsha was known for his patronage of Buddhism and his efforts to spread the religion.

Therefore, the correct answer is neither 1 nor 2.