Shinobi,
You can install a fully functional trial on your laptop and just see if it does what you want. That way there is no guessing. I would think that processor is on the low end of performance but vMix is relying on the graphics card which I think yours would be just fine. I would install the trial and give it a shot. Do you have SSD or HDD? I think that will make a difference. If you find that your laptop just does not handle the recording very well, you can always use an external recorder like the Black Magic Hyperdeck Shuttle 2 and you would send the HDMI output to that device. If your laptop does not support YCbCr color space for the HDMI output, then you would have to use an inexpensive HDMI>SDI converter and then take the SDI into the Shuttle recorder.

The recording function is available in all versions. It seems like you would only need the HD Basic for your needs. There was a post the other day that the GoPro codec is now available for use in vMix (actually any software). You might check that post out as well. Hope this helps.

Tim