Your photos aren't working (link is broken)...
I'm sure your camera is working absolutely fine, but you may just want to get out and shoot a whole bunch of frames at various ISOs and in AI Servo and continuous high shooting, just to make sure everything is working as it should.
In terms of noise, expect about a stop to two stops better on the 5D3 vs the 7D. So basically, ISO 400 on the 5D3 will have as much noise as the 7D does at ISO 100. It's not two stops at high ISOs, more like one, but still... the photos you'll get are going to have so much more definition to them than on the 7D... you're going to be pleased
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