You're probably pushing about 15 amps, give or take a couple. This means your wire should be at least 14awg, and 12awg would be better. It looks like your power cord is somewhere between 14 and 16 gauge. (It should be printed somewhere on the side of the outer sheath before it goes into the box.)
In general practice, you'll likely be ok, but I would keep an eye on that wire. Any time you start getting kinks and cracks in your wires, it weakens them. Eventually your wire still begin to break down, get brittle, start arcing, heating up, etc... until they completely fail.
As for temps, you should be able to find what kind of wire/insulation is being used (written on the side of the sheath once again, like THHN or something similar) and look up its temp rating. It's normally something like 160F to 180F, IIRC. (About what a cup of coffee would be). It could be slightly higher or lower, but if you can hold it between your fingers, you'll likely be ok. Just don't hold the cracked area.
