Sounds like the blade needs a touch up. O would recommend the diamond balsa method once you get it rehoned.Ok, I've improved to the point where I don't get anymore nicks or cuts. However, the shave is nowhere near smooth anymore now. Maybe because I am putting less pressure? I still need to follow up with two passes with a DE but before didn't really need it on the cheeks now I do.
Burning post shave has diminished a lot and is now limited only to the left side of my neck which I shave with my non dominant left hand
I also don't bother doing a E-W or W-E on the neck. The results aren't worth the hassle to me.
If you keep using your non dominant hand you will get more adept at using it. It will eventually start feeling natural (from what I've read, I've always used both hands shaving since I was 13 or so).