Help with modals.

Dear professors,

Could you please correct these uses of modals?

1) A. "What a terrible draught! The front door may be (be) open. It can't be (not be). I shut it when I came in."
B. "You obviously can't have shut (shut) it. Look, it's wide open."
A. "I can assure you I did. The wind must have blown (blow) it open."

2) A. "Is that the Lion Hotel ?"
B. "I don't know. It must be ( be) according to the map, but I don't see any signs."
A. "I think we could have passed (pass) it back there in the dark."

3) A. "I don't have to lock (not, lock) my front door when I go out; this is a very honest neighbourhood."
B. "You are lucky! We must lock (lock) ours! Our neighbourhood is far from honesty."

4) A. "You didn't have to introduce (introduce) John to me yesterday since we already know each other."
B. " The truth is I don't suppose you may have met (meet) each other anywhere in the world."

5) A. " Did the boys manage to go to the cinema yesterday?"
B. "No, in fact none of them had enough money so they unfortunately couldn't go (go, unfortunately).

6). A. "Next time the neighbours make a lot of noise at night, I will call the police."
B. "I won't go (go) into such trouble; writing them a note may be (be) enough.

7) .A. " What do you think of my plan?"
B. it is not bad, but you might want (want) to consider a better alternative."

Thanks a lot. I appreciate your help.