Hmm, I guess I have a couple of things to think about:
1) When you a say a second Sun, there would be an issue with seeing it both night and day. Firstly, night is just a word to describe the point at which a particular side of the Earth isn’t facing the sun. So a second Sun? There would be no night time if we assume “a second Sun” means a star close enough to the planet for it to be large and not just a distant point of light. So bear in mind, the bigger (or closer) the star at night, the more light there would be from it.
2) You can make stars always due a certain point. Think of the North star in the northern hemisphere, or the Southern cross in the southern hemisphere. Sure they move in the sky slightly as we orbit the Sun, but they are still in the same general direction. Again, keeping in mind these stars are light years away and that their orbital patterns have nothing to do with ours. We only have one star that mainly affects us, being the Sun.
Also lets think of the moon. From here on Earth, we always see the same face of the moon right? It’s basically in a strange equilibrium where it spins about its axis and orbits the Earth at a perfect amount that pairs with the Earths orbit and revolutions, that the same side (generally) faces the Earth. So that’s something to ponder on.
3) Look into Binary systems. Pluto and Charon are a binary system. In fact, the Earth and the moon is a binary system; albeit to a lesser degree. It’s where two objects in space have particular gravitational interactions, that they orbit about a kind of “center of mass”, as opposed to one orbiting the other.
I feel like this hasn’t been much of a help. But I’ve gone off some limited info. So please don’t hesitate to send me other messages when you have a more detailed idea of what you’re trying to do.
My last bit of advice is just to look up basically how orbits move and work, such as why things rise and set, why there is night and day, and particularly look up the things I mentioned. If you look up the North star, Binary Systems, and the fact that the moon always has a same side facing the Earth, you should be off to a good start.