What Brandon said ^. Red and blue are possible the worst two colors you could put together. They're on opposite ends of the color wheel.
Ice blue, and a primary red would look good together.
Try neon blue with a really dark shade of blue that's close to black.
I think so! It depends on how you combine them, but done in the right way they can be really eye catching!
In this photo you can see how Felt Ball Rug combined them also using purple, and all the colors make the other pop. Beautiful!