The Sky is Mine 2003

(from ebookjapan):

Ippei Yasuda travels all over Japan in order to find a suitable spouse who is recognized by all members of his family to be the heir to the Yasuda Zaibatsu, a super giant conglomerate. While living such a life of travel, Ippei Yasuda is arrested for possession of methamphetamine!

The conflict between Ippei, who has no memory of the crime, and the police, who assume from the start that he is the culprit, only deepens. The situation is so entrenched that Ippei is on the verge of exploding...!

Mangaka Hiroshi Motomiya presents a new "My Sky" series from a contemporary perspective.