Why do I not have any players on my team after the draft date and why does my draft keep getting rescheduled?

Most likely no users signed into the draft. Fleaflicker doesn't explicitly support an automated draft. At least one owner needs to be present at the beginning of the draft for it to take place. However, if one owner signs on during the live draft and initiates it to start, the computer will auto-pick for that owner and all owners that aren't present.