RE: What to do to improve precision with crossbow?
Starting out groups really depend on your previous experience. If you shoot a rifle, you will get very good 20 - 30 yard groups. At 20 yards, I can hit previous arrows almost every time. Ouch!
That is why I tend to shoot one arrow per bullseye.
After you get to where you feel like your groups are the best they can be. . .they stop improving. Then you should start to look at tuning your arrows to improve more from there.
Try shooting from a rest to see the best your crossbow can shoot. It is a way of reducing the shooters negative effects on accuracy.