progressive aspect

Why is the progressive aspect or non-progressive aspect used in these sentences???:
1.No, she must go alone. Ms Strandberg, her old governess, would be taking Jane out at twelve o’clock, but mother liked them to have a brisk walk, and that would not be possible if she went with them.
2.He’ll do his best, He’ll be doing his best, When will you be coming? When will you be putting on another performance?
3.Professor Marvin wishes you. Profesor Marvin is wishing me what?

Please help! Thank you

1-- The point is what will happen during that time-- hence durational (progressive) aspect.

2-- Without further context, all 3 cases suggest that the progressive is being used to suggest increased interest/concern/courtesy on the part of the speaker.

3-- I have answered this on your other thread.