One of the things I don't miss about the "courtship" phase of a relationship is the whole getting to know each other and then deciding if it will go further. 
Oh, gosh. I know. That is the worst. I recently got married so I do not miss that at all.
Yes. It is daunting as a male because you are trying to woo a female and encouraging her to be receptive to a marriage proposal 
I guess one of the only good things about an arranged marriage is that you get to skip the courtship phase all together. 
Yes, I don't think that would be a horrible thing. Just sit back and let my parents take care of it, lol
On the show "19 and counting", I saw an episode where the guy had to ask the father if they could begin courting their daughter. I would not like that at all!
Yes, I much rather have the informal type where it is two private parties instead of being public/formal where you have to seek a family's approval.
What do you think is the proper amount of time to court someone is before getting married? 
It differs; however in the United Kingdom, the average duration between meeting and the actual proposal was 2 years and 11 months. 
I guess it is different in different cultures. I think some cultures put too much pressure on couples though.