I always perform lap joint flaps to repair earlobe defects. If you were not treated by a board certified plastic surgeon and the holes were sewn together from the frontal view only, then it is completely possible for you to have the described openings.
Typically after surgery to repair gauged ear lobes, some thin, linear scars will be visible, but there should be no holes. The skin within the piercing should be completely excised for the repair to be successful.
I repair earlobes after 'gauged' piercings from the front and back side of the earlobe. I then re-pierce the lobe 2 months after surgery, if the patient desires this.
Did you clearly state that you want to close them or did you request to just decrease the size of the hole? If your aim is to close them (based on your description), you may need to have them redone. There is a nice, simple technique to achieve this result.
It's impossible to tell without a photo. The repair of an earlobe can fail but it is rather unlikely. You should check back with your surgeon and get their opinion on whats going on.