You are definately on the right track by preparing the surface properly. I would not put the paint on thick, always do nice even coats and you'll probably only need 2 coats. Unless your cabinets are oak, then you may need more. What's so great about oil is that it self-levels, so apply a nice even first coat, lightly sand and do your finish coat. Once you do your "distressing" you may have some touch-ups.
And, always make sure the front of the door looks its best. I would prop the door up (maybe a paint can or some other item to keep it off the surface. Then, you can spin the door as you paint getting a nice clean edge -- no drips (or fingerprints). And, if you lay the door on a flat surface, the painted edges will stick to whatever it lying on.
I always paint the flat surface first, then work my way around the edges, making sure to "feather" along the sharp edges making certain there are no drips. Sometimes, a smaller artist brush comes in handy.
Also, I think 5 coats of varnish is overkill, but do what you are comfortable with.
I did my china hutch black with a distressed finish a few years ago and it gets better looking all the time!

Hello. I am getting estimates on painting my house. Is it right that oil based primer is put on wood repair, and bare places then a latex paint is used?

Also, one estimate with Sherwin Williams and one with Kwal. Anyone know anything about Kwal?

Thank you, Pat