Erza

Then you can enable it in your admin control panel. Probably somewhere under customize, I'm not sure. You'll have to navigate yourself in your ACP, as we can't hold your hand for every bit. 

https://invisionpower.com/files/file/7771-sd-pages/
Is this what you're looking for? It's $5 but it should do the same as the Invision version. 

I'm pretty sure that's just something to do with notifications paused. Either way, it's not a favicon and I don't think it's easily removable.

You can use <span class="sectionhead">Test Section</span>
css: 
.sectionhead {
font-size: 150%;
}
(above is an example)
Although I really don't see the need to reduce it, but it's your board. Mess around with the % until it matches, or if you prefer one digit numbers, you can use 2rem instead of 150% (for example).

There's as far as I'm aware no plugin that makes this code-free possible, but you can add it yourself however. 
Go to ACP > Customization > Appearance > Themes > Your Theme > Edit HTML/CSS (button that looks like: </> ) > footer
Scroll down until you see
 
{{if \IPS\Member::loggedIn()->canAccessModule( \IPS\Application\Module::get( 'core', 'contact' ) ) and !( \IPS\Dispatcher::i()->application->directory == 'core' and \IPS\Dispatcher::i()->module and \IPS\Dispatcher::i()->module->key == 'contact' )}}         <li><a href='{url="app=core&module=contact&controller=contact" seoTemplate="contact"}' data-ipsdialog data-ipsDialog-remoteSubmit data-ipsDialog-flashMessage='{lang="contact_sent_blurb"}' data-ipsdialog-title="{lang="contact"}">{lang='contact'}</a></li>     {{endif}} Add the following after the {{endif}} bit. <li><a href="http://partnersite.com" target="_new">Partner Name</a></li> So it looks like this:           <li><a href="http://webflake.sx" target="_new">Webflake</a></li> Giving you this effect:

Add the code for each partner site.
 
Don't forget to include http:// or else the board thinks it's a link on your site!