You can't have the same components in two different places at the same time, you'd need 2 components for that.
If you want to move a component that should be achievable. Use the remove() and add() or insert() methods on the relevant containers. There are 2 majors gotchas. Firstly, components are destroyed by default when you remove them, so make sure you pass false as the second argument to remove(). Secondly, not all layouts allow you to add or remove components, mostly notably border layout. If you find yourself using such a layout, the standard workaround is to add an extra level of containers.
I'm afraid I don't understand the question. What removal are you talking about? The only removal I mentioned is part of the process to move the component. If you prevent it being removed it won't move.