Membership and Slider, Categories

I have three problems with membership allowing logged in members to see things:

1. I am using Elegant Theme’s Lucid template, which has a built in slider on the homepage. It pulls all of the posts from one category. Once a member is logged in, they see completely different posts pulled in on the home page.

2. Also on the homepage, I have two boxes that display the recent posts from different categories. Once a user is logged in, instead of seeing one column of Category A and one column of Category B, they see two identical columns of Category A.

3. I have posts set up using the List category posts plugin, to just show a simple bulleted list of all posts in a category. Once a user is logged in, this post is completely blank and the sidebars are gone.

You can see the site at http://www.hebrewnationonline.com. If you need to login, let me know where to send the details.