1
It is not very common, its meaning is similar to "should"
2
It is a semi-modal, it expresses external obligation, related to fact not opinions.
3
It is used to give an advice, making or asking for suggestions, opinions and actions, or to generate a certain level of expectation
4
It is not very common, it is used to be formal, similar that the verb "will"
5
It talks about habits you used to do before. It is also used to establish conditions for the future.
6
It is a semi-modal, it expresses necessity of doing something
7
suggestions or possibilities, more flexible than "may"
8
It expresses strong suggestion or obligation; logical conclusion or probability
9
It talks about the future: predictions, plans, promises
