Hi, welcome to the community.
1. There are many ways to move things around in C2, but how you do it depends very much on what kind of movement you have in mind. Maybe you could be a bit more specific? The beginner's guide covers a lot of the basics as well, so you might want to skim through it if you haven't already.
2. This one's probably slightly more complicated, first we need a variable to use as a timer, then we can adjust the opacity of the object based off that variable. Here's an example (comments inside):FadeOverTime.capx (r134)