First, the big question of why didn't your draft happen all depends on what type of league you're playing in. If it's a Standard League the draft will only start once all 8, 10 or 12 owners have joined (depending on the size of your league), so perhaps you were set up for a ten person draft and one of your less reliable buddies forgot to set up their team. All you'll need to do is get a them to officially join (if you're nice enough to still offer the invite) and then have at least six of your league members cast a vote on when the new draft should happen. If you're in an ESPN Custom league the same thing applies - you'll need to vote in order to set up a new draft.
If it's an LM League you play in your all-powerful commish must set the new draft date/time, so make sure you're still on speaking terms after the recent draft issues. If you're the commish then you're in the driver's seat - just set it up for whenever is most convenient for your league members.