AwesomeMath Penguin

Hey, thanks for checking this out! This graph is called the "AwesomeMath Penguin". The "AwesomeMath" part is that the yellow and orange edges are the logo of AwesomeMath camp, a summer math camp I went two times(and will go again!). The T and A that are formed stand for Titu Andreescu, the founder of the camp. It was named Penguin because the logo made me think of beak, and it just went on like that...Yeah, take a harder look, will ya? Anyhow, for any comments that it looks like a penguin, there is no response. ^_^

1. Is this graph planar? Show by moving the edges.
2. By only using the colored edges and the non-colored edges that directly connect one colored edge from the next, can you make an Eulerian cycle? Why or why not?
3. To make an Eulerian graph, which edges do you have to remove?

Alicia Ouyang, Created with GeoGebra