Do cats get leptospirosis?

Hi... My Name is Dasha.. i'm from Jakarta, Indonesia. I had a kitten, named Lilo, male, 6 months old, persian, white. He's my favorite cat among all of my 6 other cats. Lilo has a sister, named Lala. One morning, Lala was sick. i guess she was having a cold. so i took her to the vet near by my house, and the vet want to keep her for a couple of days. and Lilo was healthy, but He was sometimes but not everyday has a runny nose and something in his nose, same as Lala. and the next day i decided to take Lilo to the vet for grooming, and the vet says that he should get vaccinated ASAP. and i told him, "Yeah, okay after the grooming".
The Next day after the grooming, in the afternoon i gave Lilo a boiled fish. he ate it all. and at night we were playing in my room. i was video taping his funny acts. not a while, he started to puke. and i thought it was the fish? maybe it was bad. and the next morning, he hasnt recovered. he;s just very week, so i asked my helper to the vet. before that i already texting the vet explain of what happened. and my helper bring him home, i wish the vet would have have him overnight. and Lilo doesnt eat anything, he's just very very very weak. and he ate at night. but the next morning, he urinated and the color was dark brown. so i took him to the vet, keep him overnight. and i took his sister Lala home, coz she's doing a lot better. but in the afternoon, the Vet text me that Lilo is in chronic condition. i was so worried and FRUSTRATED. his ear is bleeding, and his temperature in the morning was 40 degrees celcius, and now is 37.2 degrees only. and i was hanging out with myboyfriend, i came running down to the vet. BUt its sooo too late, He's dead. the vet said that there's nothing else he can do. and told me that Lilo has Leptosirosis. and i cried the whole night, i couldnt sleep. i feel so guilty to Lilo, i should have done better. and i googled Leptosirosis, and i found out that it is very rare for cats to get it. i just wanna know your second opinion. i just cant accept that Lilo is gone. thanks.