Short answers, pulled from the story.
Kumaragupta I was a Gupta emperor who reigned from 415 until his death in 455. He was the son of Chandragupta II and Queen Dhruvadevi, and he inherited an empire stretching from Gujarat in the west to the Bengal region in the east.
Buddhist writers Xuanzang and Prajnavarman record that a king called Shakraditya founded the institution at Nalanda. Many modern scholars identify Shakraditya with Kumaragupta I because "Shakra" and "Mahendra" are both names of the deity Indra, and Kumaragupta bore the title Mahendraditya. The Chinese traveler Faxian, who visited nearby sites during 400-411, made no mention of any monastery at Nalanda, supporting the view that it was founded after that date during Kumaragupta's reign.
The Bhitari pillar inscription of Skandagupta states that he defeated enemies and restored the "ruined fortunes" of the Gupta family upon his father's death. This has led historians to suggest Kumaragupta suffered reverses in his later years, possibly against the Pushyamitras or the Hunas, though the inscription may also describe troubles that arose after his death from a disputed succession.
Kumaragupta I issued the largest variety of coins among all Gupta kings. His 628 coins in the Bayana hoard span 14 different types. One type, the rhinoceros-slayer gold coin, was unique to him among all Gupta rulers.
Skandagupta succeeded Kumaragupta I. Kumaragupta had at least two sons: Skandagupta and Purugupta, whose mother was the chief queen Anantadevi. Skandagupta became king first, and was eventually followed by Purugupta, whose descendants then continued the Gupta line.
Kumaragupta ruled through governors called Uparikas, who held the title Maharaja and administered large provincial units called Bhuktis. Below them, district magistrates called Vishyapatis managed smaller units with the support of an advisory council comprising the town mayor, the head of the merchant guild, the chief of the artisan guild, and the chief of the guild of scribes.