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#1 - been working on it since wednesday. Hope to have it in the next major release. We have three different approaches we are coding.
a) The first is the ability to use shortcodes to display any eventbrite ticketing (short or full) purchase / registration forms in a post. All you need is the eventbrite ID. This is done and will go out with the next dot release this week.
b) The second is a manual addition when you create a post. It simply asks you if this is a current eventbrite event and allows you to submit the eventbrite event id. It then imports all the data.
c) The third is a sync with eventbrite function that will import all your evenbrite events, filter out the ones you have already created posts for and then build out anything you don't have in wordpress. Its a bit complicated so it might take a little while to iron out the bugs.
#2 - not yet. its somewhat complicated and we are tackling some other hairy tasks first. That said, if you are good coder, reading this and want to give it a shot, we would love to have you join the contributor crew.
#3 - interesting suggestion. What would you want it to display? Can you give me a specific use case or two?
#4 - in the works! No eta yet though.