They are referring to when Dr. Rank performed medical tests to see if he was dying or not.
Bellerophon used bow and arrows to kill Chimera !
THe second sentence is using present participle because you said " I promise" not "promised". Saying promise is when you are saying it at the time and saying promised means you've already said it. Like with how you said "kissed" instead of "kiss" in the first sentence.
