The answer is, it depends which side of the door is the "public" side so to speak. 

The door should be pull from the side that you open it from most often so you can use the handles.

It is hard to tell from your images, but I'm thinking the door leads to some sort of storage area so option 1 would be the best choice since you will open/close it from that side.

**Remember also...** Bi-Fold doors are really hard to close from the back-side without doing something weird to them to give you something to grip in the middle (as you have shown).... They are really not meant to be used as bi-directionally closable doors.

**UPDATE**

Rabbit is an issue....

Option 1. Mount the door backwards. If there is room in the closet door for the door to fold that way without hitting shelves, hung clothes, your wife's overlay ornate collection of shoes... then go ahead. You will hate it, but hey.

Option 2. Hinge the door forward of the rabbit. But you may need to trim the door width

Option 3. Fill the rabbit with a strip of wood on the hinge side. May still have to trim the door.

Option 4. Turn the door frame around... Can't see the fixings in the images but may be easier to do than options 2 and 3.

OPTION 5: Move pivot points further in. Moving the pivot points further in will allow the door to centre outside the jam. You may nave to "Maguiver" the bottom bracket a bit.

[![enter image description here][2]][2]

  [2]: https://i.sstatic.net/1OJwB.png