Create Multiple Posts on Multiple Pages

Goal:
I have created a bunch of pages on my site, and I want to be able to post multiple posts on each individual page, and have the most recent posts from the whole site show up on the slideshow on the homepage, rather than just the posts originating from the homepage.

For Example:
I have a page entitled “Alternative” under the music tab. I want to make a post to where it only shows up on that page, and also the homepage slideshow if it is one of the most recent posts on the site. I also want all the posts I have made to that Alternative Page to stay on that page, rather than just make one post, delete it after a few days, and post another.

Is there any way to do this?