Tango should be removed before wireless charging. Then you can wirelessly charge as normal.
It is easy to remove and replace Tango whenever you need to charge.

No.
When, expanded the Tango feels virtually solid with a secure stretch to it. The Tango helix is composed of multiple thick elastic elements which all pull and push together making it extremely stable.

There are three tiny "detents" in the steel baseplate. This allows the top to be locked in to place in two orientations (left or right). Locking Tango into one of these detents creates a wedge shaped landscape Kickstand.
See Getting Started video above.