Sri Thomas Chandy is perfectly correct on point one in his note. Before the split , the student wing of the communist party was known as AISF. Today SFI is the more predominant name of their student wings.
Regarding point two, my understanding is that Mrs. Indira Gandhi delegated a team to study how the communist party was able to get a majority in the election inspite of the fact that some of their candidates were in the underground on criminal charges. They reported back that it was their student wing members that visited every home and canvassed for them; including my students in the Government College, Chittur. This prompted her to suggest the formation of KSU in Kerala.
Joseph K Alexander