Uneven bars for women/girls, and high bars for men/boys. Some are even single bars for level 4 and under in gymnastics.
you jump then swing
You *can* but it's definitely not ideal and I wouldn't recommend doing it often. Gymnastics bars are very different from other bars and training a lot on other bars may actually mess you up when you go back to a gymnastics bar.
A front support in gymnastics is usually done on the bars. You will be upright and on top of the bar with your arms perfectly straight and your belly off the bar. Your stomach should not be touching the bar. You should be supporting yourself all the way up with your arms. This is one of the fundamental positions of gymnastics which will lead to the development of other skills on the bar as well.
The one closest to the ground.
No they don't.
Glide swing to low bar kip, front hip circle, cast, squat on, jump to high bar, kip, cast, free back hip circle, tap swing, tap swing, turn 180' and drop down
If it's on your porch, porch swing. If a regular swing then it's called, a swing couch.
Varies on the gymnast's height.