A) correct eg:-Formally, They could have let me know they were going to take away my bag due to a certain reason.
eg:-They could have done with a left-over for the bag in the shop(hence for me to act )
eg:-Used to emphasize how strongly I want to express my feeling(hence they have done wrong for not leaving the bag for my usage !)
B)Used to show that something is or might be possible;
eg:-You might leave it there,if you think it is too" heavy".
eg:-Don't worry-----the bag could have just left there for me to just "pick-up".
eg:-You couldn't have left it in the shop, could you?.."Oh, I couldn't,thank you" But I might.(due to heaviness.)