Reading between the lines here:
he's an ex-boyfriend, not an ex-husband
he dumped you
From what you've said, it sounds like he may well be interested in a restart (don't know what you've got till its gone). If you're really good friends, I would not send mixed signals. Review clearly what happened and decide if its a good idea before you get together. If you do want to restart the fire, I'd go back to the Hanae Mori. If you don't, then leave sleeping dogs lie (as in the fix the computer part may simply be a premise to see you again).
If I'm wrong, then ignore me. But these 'little games' have consequences.