I think that the difference is between talks that you are asked to give (by whatever method) and things like "contributed paper sessions", where they solicit abstracts from people and everyone gives a talk. Most AMS meetings have the latter. Another example of a "non-invited talk" would be your PhD defense.

Certainly all the things you discuss count as invited talks for the purposes of a cv.

I personally just have a single "talks" section on my cv, but I'm a little selective about what goes in it (eg I don't include expository talks I sometimes give to grad students or talks I give in our local topology seminar).