Labels for overlapping points not displayed correctly.

[ioanamariamuresan]

I'm not certain if this is necessary an issue or a matter of adjusting the label settings, but the labels generated where there are overlapping points are not displayed correctly.
In the example below, I have 2 points at the same location, but I cannot seem to find a way to move the individual labels independently. When I move the label, all overlapping labels are moved at the same time.