The Blind Spot in the Karaoke Box (Part 1)

Sonoko, Ran, and Conan once again meet up with Eisuke. They go to a karaoke spot. On their way there, they are followed by a man with hat and sunglasses. Later, this same man turns up dead at the spot, and Conan finds Eisuke to very suspicious. Is it possible he had something to do with the murder?