How to change meta bar and featured text font

Since you have already figured out DIV classes there is nothing that can hold you back from changing them.
For featured text you can use something like

.featured-text {
font: 14px Helvetica, sans-serif;
color: #fff;
background: #fff;
}
This is just basic idea, from there you can change it to whatever you like. No limits there
The same goes for .entry-meta

.entry-meta {
font: 14px Helvetica, sans-serif;
color: #fff;
background: #fff;
}
The actual code for .entry-meta is located in content-extensions.php if you want to edit that.

Above mentioned CSS code you can place (after your customizations) you can place inside Theme Options – Other – Custom CSS or inside Child Theme style.css if you use one.