To a certain extend it will depend on the school and their procedures.
Typically:
Martial artist do not bow with one hand as it would be disrespectful. The use of two hands during a bow in martial arts is a sign of respect.
Yes, Judo is a martial art that was based on JuJitsu.
It is Majest Martial Art.
Its not a martial art its a training drill.
Bow.
Mixed Martial Art (MMA)
No; most martial arts historians are in agreement, that it is wrestling which holds that honor. No, actually, the first real martial art is believed to be an inian martial art known as Kalarippayattu.
{| |- | Street fighting is not a martial art. It uses and develops many martial skills. But there is more to a martial art than simply a series of skills. There are also philasophies and understanding that is included with the teaching a marital art. |}
Judo is originally a Japanese martial art which emphasises throwing.
The martial art you are looking for is Parkour.
Shaolin Kung Fu uses the Bow too.
I am not aware of any martial art that is restricted to females only.