Hi,
sorry for late reply, it's a weekend for us.

I'm using Joomla 3 and would like to know where and what do I name the custom css file for making changes to the layout of the Social Network.

Access to Admin panel (http://docs.easy-profile.com/index.php/article/social-network-configuration)
- Go to Theme Manager
- Choose "Blue Theme"
- On left menu you will see the file main.css to customize
You can also edit views files with overrides (to not loss changes when upgrade/reinstall the plugin)
- Go to Theme Manager
- Choose "SocialNetwork Theme"
- Choose your file on left menu
- Click on button "Copy" and copy it in "Blue Theme"
- Come back and choose "Blue Theme"
- You will see your override to customize in file list

Social Network theme is a system theme, so it will be overwritten every upgrade/install of this plugin
Blue Theme is an example theme and you can customize without loss your modifications on upgrade/install of this plugin

And the other question is, I'm wanting to eliminate some of the buttons (events) for example. Where do I find the files to change or delete features?

We use own plugin system, so follow these steps to disable "Events" plugin:
- Access to Admin panel (http://docs.easy-profile.com/index.php/article/social-network-configuration)
- Go to "Plugin Manager"
- Disable "Events" plugin