Will this laptop run Premier Pro/After Effects?

That's another strike against the laptop in question: That i7-6600U, which cannot Turbo at all when both cores are in use (but instead stays locked to the stock frequency of 2.6 GHz), is much slower than even a cheapo desktop i3-6100 CPU (which I had previously determined to be already marginal for any kind of HD video editing).

Actually, like I had stated many, many times, 1366x768 does not meet the minimum required vertical resolution for the Premiere work area to be displayed properly. In fact, critical portions of the work area will become irrecoverably hidden with a 1366x768 display (this means that not only the dialog boxes cannot be resized any smaller, but also the boxes cannot be moved sufficiently to reveal those critical buttons that are required to render or export projects). The only fix would be an external monitor that's connected via HDMI, which would have totally defeated the primary purpose of a laptop to begin with.