Slow you speed down on the drilling, I'd suggest no faster than 300 rpm, and back the bit out after about an inch, to clear the shavings.
The spiral cutting is just you being too aggressive, you have to work at taking a fine finishing cut.
It will happen, you just need the practice.
I seldom sharpen my skew on the grinder, maybe once a year, I mostly do it on a diamond hone, but a good sharpening stone works just fine, at least a 600 grit for that final honing. A leather strop certainly speeds things up.
The pessimist complains about the wind; the optimist expects it to change; the realist adjusts the sails.
William Arthur Ward