You don't need a figure eight pattern to have the planet have both sides in the sun at the same time periodically. Normal binary systems have two stars orbiting one another at a distance greater than the planetary orbits around the star / s. So if our system was a binary the second star would be out somewhere beyond the orbit of Pluto. Now because inner planets generally orbit faster than outer ones, the inner planets will at different times have the second sun behind them while at other times it may be on the other side of the sun they orbit.

Next the year length is anything you want it to be. So for example, Mercury's year is 88 Earth days, and Pluto's year length is 250Earth years. But a note - the length of a year relates to the orbit of a planet around its sun. Having a second sun doesn't change that, and because the second sun's year length is likely to be vastly longer than the planet's you won't actually see the second sun move in the sky. Likelihood is that decades will pass and you'll see the second sun move half an inch across the sky.

Third - a red star. This has issues. First, everything on Earth survives because of photosynthesis. Luckily red light is one of the spectra that plants can use. But the plants will be different colours because of the different chlorophyll. Similarly if the main sun, ie the one your planet orbits, is the red sun, all your colours will be off. Probably because creatures / people would have evolved on the world with the light it won't matter so much. Then as was pointed out elsewhere, if the sun is red, it likely provides less heat / light than our yellow sun. So in order for the planet to get enough it has to be in a closer orbit to the sun, which means shorter years and quite possibly a smaller planet. Also your people would likely be very different because orbitting closer to the sun, means they have a different radiation exposure. So they may have thicker more heavily pigmented skin etc.

Cheers, Greg.