1. I'd like the star to be blue, and noticeably blue in the night sky of a planet orbiting the other star. Fairly prominent. Maybe 1/8 of the moon's size is quite large, perhaps considerably less could still work, but as long as it's more noticeable than your average star, and blue in appearance if that's possible.
As StarryEyed said, a blue star is out of the question due to the shortness of their lifespan. And as I mentioned earlier, the star is going to be by far the brightest star in the night sky, even visible in the daytime sky, even if it's a yellow dwarf like the Sun and even if it's just a point source. So it's undoubtedly going to be more noticeable than any other star (or planet, most likely) in the planet's sky, aside from the planet's primary star ("sun") itself.
2. Around 2 months to get there travelling at .4c.
Is there any reason the speed has to be that enormous? Surely the travel time is what matters for the story. And 2 months at 0.4c translates to 4200 AUs, which is preposterously far for your purposes.
And for what it's worth, speeds that high are a pretty bad idea for in-system travel, since the density of dust, micrometeoroids, and the like is a lot higher than in interstellar space, so the odds of a catastrophic collision are relatively high. 0.4c is fast enough that being hit by a micrometeoroid would be like getting hit by a nuclear warhead.
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