Object removal in After Effects via Content-Aware?
Can I suggest that you try Davinci Resolve for this?  It's free, and has a fantastic "clone stamping"-style tool, called Node Sizing  - see "Example 2: Using Node Sizing to duplicate a windowed area of an image to cover a blemish" p638 in the manual:
http://software.blackmagicdesign.com/DaVinciResolve/docs/DaVinci_Resolve_11_Manual_June_2014.pdf

It allows you to clone one region of a video over another, and to feather the edges. You can track the positions of moving items too - it's remarkably effective.

Update: After Effects now has content aware fill for video: 
https://helpx.adobe.com/after-effects/using/content-aware-fill.html