I'm in tears reading your post. My DD was born the same year my father died. I've often dreamt of the awesome grandpa he would have been. He had this giant belly that I know my kids would have loved bouncing on. I'm sorry they didn't get to know him.
I try to tell DD about my father as much as possible. I tell her about how he didn't like to wear shoes or jackets outside, that he was so funny, and how he loved butter. lol
Big hugs to you. It won't seem like it for a while, but you will find your strength. I agree with the others to avoid the induction and grieve. If you're baby is safe and healthy inside you, it might be better to wait a bit longer. <3