Yamato's father caused the accident in wich both parent's of his friend died because he suffered a seizure for overworking himself, he went to jail (or at least thats what you can deduce from this panel http://www.mangago.zone/read-manga/hinekure_chaser/mh/c020/5/ the glass is like one of those used in prisons to let the recluses talk with their visitors, also Yamato's father has long hair so he probably was there for a while), Yamato was raised by his aunt and it seems that even though the accident wasn't enterily his father's fault Yamato didn't forgive him. Probably after geting out of prison Yamato's father didn't go back for his son because he knew Yamato hated him thus Yamato saying "he ran away" "abandoned him" instead of confronting his son. This could also explain why his aunt is on Yamato's father side.

1st off... Hozumi may be kind of a cute dummy, but he did just what Yamato needed at the right time. You go Hozumi!
2nd Did Yamato's dad abandoned him by running away after the accident or did end up in jail? I don't remember if they said anything about it in the manga before now or not... if it's just him running away then Miki shouldn't take Yamato's dad side, being her lil brother or not. That's just not right, her lil brother abandoned his own son, how can you take his side?!