You have to click on the actor palette option and then the motion sub-tab in the palette. Does that make sense (btw, it will likely look different than in the tutorial. Check the "news" section to see any differences.).
Yes it is: stencyl.com (well, it's free to use and to publish games that have a Stencyl logo on them. To get rid of the logo or to publish to non-flash, you will need a yearly license... but all of the options are free to use (it's just to publish to those areas that costs money), so you could make the game first, then see if someone wants to sponsor it, and at that time, the sponsorship should more than cover any cost of the license (or you can leave on the Stencyl logo and pocket all of the profits :P). It's a great business model.
I don't know how you do it, but yet all your games are fantastic. I always look forward to your next game you are a wonderful deveoper, and always keep moving forward.
Start to appear? Do you have an infinite loop going on (i.e. do every 0 seconds or a "while" loop where you didn't increment the index)?