The jetpack is tricky and it took me many tries before I got it.
The save I have is called "start jetpack," which I will send to you. However, I am not sure if this is right before or right after the jetpack is assembled correctly. If it is not the right one, we will have to wait for someone else to provide a save as this is the only one I have for Amateur Detective mode. I might have one for Senior Detective, although I would have to check.
Congrats on completing Ransom - I thought that was a really difficult game.
I have sent the saved game to you.