You can find out such information if you right click on the contact in the contact list, and go down to "Messenger Plus Extras" Follow the arrow then click on Contact Information. This is assuming you have the latest version of Messenger Plus. The screenshot below is how to do this. (I am aware that my method does not answer all of your questions, however, I have answered as best as I can, and I don't think there is any way to find out the other things you mentioned, without asking the person in question of course)
Hope that helps.