Color correcting is interesting because I feel it gets confused with color grading very often. Color correction is literally correcting what comes out of the camera. My canon tends to be a bit warmer, so a color correction would be adding some blue back into the image. Color grading is where you dial in the colors to your specific tastes. That’s where you start adding the harsh darkness in the shadows, adjusting the highlights to your taste, etc.
Here’s a great video on this (it’s been a while since I’ve watched it, so I hope this helps you out!): https://www.youtube.com/watch?v=4sblEu4x5ug
Next, lighting. This is always a tough one because you’re never going to have the same set up. Each location has it’s own difficulties and it’s always hard to tell what exactly you need to do. In my opinion, it’s very easy to OVER light when you can get the same (or a better) effect with just a few lights. Another big thing, is the use of practicals. If you have a lamp in your scene, that can motivate the key light so it makes sense within the story.
Here’s some old school Film Riot goodness on lighting: https://www.youtube.com/watch?v=rSo_bMFT5YI
I hope these help! Let me know if you have any questions!