I worked with big international brands, I've done keynotes all over europe and I write books about what I've learned.
I will help you grown your audience and build a stronger relationship with your audience.
I would say that a good way is to value it by reach and engagement, also I would do some tests on how many of the people that see the link-posts click them.
Number of fans has no value, but engagement and being able to move traffic outside Facebook to your page has great value.
I would start with creating a landing page that are talking directly to the target group. Get the lecturer to record a video talking to them and teasing the what they would learn.
Then I would use Facebook and LinkedIN ads targeting my dream customers. And of course a/b test all the way.
In my experience, yes. Dropbox did this with great success.
I would recommend that you simply test this. And track the results. Your answer will be different for every product and target group one may have. So always faster and better to just do a test.
No. You can not give a benefit for liking.
You need to build up a list of emails. To do that you need to create a feel of exclusive access and that the one of the list might experience your product before everyone else. Also i would use Facebook ads to drive app installs.
I would recommend that you check out http://wistia.com/ - I use them for all my videos. Public and privately.
I would use Zapier :)
How about a report button letting your users decide?
Thomas is a creative manager that can see possibilities and new aeras in the technology sphear that can be prosperous. He also knows the importance of advertising and design as a mean to obtain success.