In one of the bonus reports (extra chapters that are included in the manga volumes) that are not translated is heavily implied that Nobunaga has feelings Sumire, the school nurse and Inukai's sister, and that Honoka has feelings for Nobunaga.
So, it seems that Inukai has feelings for Honoka (that is not confirmed but I think it's a fair assumption), Honoka has feelings for Nobunaga and Nobunaga has feelings for Sumire. A love square.