As for problem solving they usually try something, if that does not work, go down the list of possible solutions. Either that or they will sleep on it, and get back to it later. Often times they let their mind sit on it.
They can talk to any creature in their home world, here they were not certain at first. The first time they knew they could was back in a secret laboratory, they found an abandoned tunnel to the outside, and came across some bees. As well as a pond with dragonflies, they started talking to them and they obeyed. They dont let anyone know what they can do, so they dont scare them.