Well, ultimately in this game nobody has much real power over anybody else. Even the delegate and admin only have the power of the ban buttons, which is something of a blunt instrument.
In my real life I have a lot of experience in working with, and leading volunteers, and find that encouragement and thanks work wonders - far better than nagging and sarcasm. I beleive that the main power a Prime minister has is the power of persuasion; but do not underestimate that power.
There are a couple of specific things I would intend to do:
Firstly, I would keep in touch with all the ministers, encouraging them to SAY when they are going to be away because of RL, so that we can arrange cover. this is supposed to be a game, not a burden.
Second, I would encourage ministers to be imaginative. All the ministries have scope for development, and I think ministers are more likely to stay active if their creativity and talents are encouraged.
PS. Thanks for the good wishes. Things are looking up.