I'm just a guy that has a marriage in crisis like everyone else here. I have no expertise in this (obviously). What strikes me is "I've got 15 days to not screw up."
That is not a good way to think or act. This isn't about her and whether or not you have one last shot to make it work. This is about you taking an honest look at who you are and becoming a better you. This isn't about trying to be perfect for 15 days.
I also respectfully disagree with Doodler as far as asking her what she wants. That is pursuing. She has been very clear on what she wants - a divorce. That hurts, and you don't want to hear that, but that is the message she is sending.
If you are a friendly guy that likes hooking up computers and such and you'd like helping her get set up, then do it and be a genuinely friendly person while you do it and don't expect anything in return. No hugs, no relationship talk, no big thank you. If you feel taken advantage of and don't really want to help her in that way, then don't. Remember, she wants you to split up, so letting her fend for herself on this is not unreasonable at all. Again, if you decline to do this, be polite and respectful when you decline.