If this were my project I would create a different comp for each name by simply duplicating the comps in the Project Panel then changing the name. I would remove the background video, duplicate the comps, change the names, then render each title using the Render Cue or AME using the Lossless With Alpha preset. The rendered titles would be brought into PPro and added above appropriate shot in the sequence.
If you have CC 2014 I would work differently. I would create a Text Template in AE for Premiere Pro. This is a much more efficient workflow. Here's how: How to create text templates in After Effects for Premiere Pro | Adobe After Effects CC tutorials
