Color out of web

I am working on my first animation for website background. Now that I have dozens of layers and artboards I figured warnings for colors. I don't want to have to go through each of those to correct them, so is there a way to color correct for web all at once automatically? Some are also out of gamut, but I think this doesn't have to be a problem because none of the artwork is intended to be printed or converted to CMYK. Also the final format of the project is a 30s GIF of png's with transparent background moving on a white background. Since this would be rendered to a gif, would the colors still be a problem once they put it up on web? I am less than a year into Illustrator, and this is first time i noticed these warnings. I haven't corrected colors in my previous project, which was animated cartoon for children, which was way bigger project. The videos work just fine in H.264, MP4 on YouTube.