I'm going to be creating some lower thirds using a logo which is shaped as a circle.
I would like to know how to create something similar to picture #1 how there is that rounded space between the logo and the rectangle containing the text.
I would also like to know how to round off the ennd as seen in picture #2.
That's just normal shape layer or masking stuff with subtract and intersect of the shapes as needed. Basic drawing like in any graphics program.
Think of each shape and color as a separate layer. Basic illustrator stuff, basic Photoshop stuff, basic aftereffects stuff.
If you are trying to pull this off in After Effects and you did not know where to start, then you had better start the getting started materials on the homepage of this form.