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If you want to take it to the next level and learn some OOP, the best book in my opinion is the Object-Oriented ActionScript 3.0 put out by friends of ed. The first book for AS2 was great to for...

use debugger to see if the mc is a child of the stage. Or if you need to check and see if its inside the actual stage area. put a watch on the x and y properties of the mc.

If you're video is embedded I don't think you can do that.
If you have a relative link to an flv ie progressive download it's already doing that. It will buffer and then play.
If you can do it with...

It doesn't look like you are accounting for load time of your image. You need to setup a kind preload on the image or a check to see if the image is loaded perfore you attempt to fade between them.

Start by updating the html. I you need to publish a newer flash file an take the html from that just do a find and replace on the filename and path.

In addition if you are looking to control the browser size, there are ways using JavaScript but none of them work on all browser in all situation. Thus I would avoid doing it.
One suggestion is, I...