If the entering creature is put into your graveyard while Guardian Project's ability is on the stack, that same card will be a creature card in your graveyard that shares a name with the creature that was on the battlefield, so you won't draw a card.

If the entering creature leaves the battlefield and returns while Guardian Project's ability is on the stack, that same card will be a new creature you control that shares a name with the creature that was on the battlefield, so you won't draw a card. However, Guardian Project's ability may trigger for the new creature and you may draw a card as that ability resolves.

Whether the entering creature shares a name with a creature you control or a creature card in your graveyard is checked both as that creature enters and as Guardian Project's ability resolves. If the entering creature isn't the first of its name as it enters, the ability doesn't trigger at all; if its name is shared as the ability resolves, you don't draw a card.

A face-down creature has no name, so it can't share a name with anything. This includes other creatures with no name.