13 out of 24 is a pretty good hatch rate, especially if it was your first time incubating. I just set 40 and ended up only having 3, one of which I had to help out and was splay legged. Were working on fixing that now. I attributed this to eggs coming from an unhealthy, older flock.
There is a TON of info and different opinions on here about the "right" way to incubate, but the all around consensus is the right way is the way that works for you. There is not any one way that is going to work for everyone, because we live in all different climates and elevations.
As for the egg turner and hatching position, many people use the turner so they dont have to open the bator constantly to hand turn eggs, and out of convenience. A lot of us aren't home all day to babysit like that.
When the time comes for lockdown and hatch, most people remove the turner and hatch laying down, so the chicks have room to rock and roll as they're hatching, and to reduce risk of injury from someone getting stuck in a bad spot on the turner. Although, you will find many people leave it in, or hatch upright in egg cartons. Usually this is due to an issue with shipped eggs, but others do it because it is what is comfortable and what works for them.
Ultimately, is a matter of experimenting, and finding what you are comfortable doing, and what gives you the best success rate. I personally use the turner till day 18, then remove it. This was my largest set yet, I've never done more than 24, and I had 16 of those successfully hatch. 3 were infertile and 3 quit in the first 7 days.