Please remember to vote. It takes less than 5 seconds and insures the activity is democratically run.
15.
15
難しい事『は』分かんね
“It’s a difficult thing, you understand…”
お任せします
お任せ 
する is a noun/verb which means “leave a decision to someone else”.
“We leave the decision up to you [doctors]”
16.
白鳥先生:
《延命処置『は』中止させていただきます》
Explanations
延命処置: is a compound noun (複合名詞), a combination of 延命+処置:
Life prolonging measures.
『は』: topic
中止させて: v. suspension in the causative.
Causative:
Verbs conjugated into the causative form are used to indicate an action that someone makes happen. Like Captain Picard so succinctly puts it, the causative verb means to “make it so”.
-Tae Kim
So I guess here it means:
“make it so that the life prolonging treatment are stopped”.
いただきます gives a connotation of “please accept”.