Sheesh, it's been many decades since someone had to rub zinc oxide on my pucker. Looks like I might have to break it out again and dress it up like a lifeguard's nose.
Not sure I follow.
Generally speaking you can put any scope on any brand rifle. You'd want to avoid anything that says it's designed for "rimfire" as the recoil on the .308 could lead to damage, but otherwise brands aren't a consideration.
As to MOA vs MIL, that's a personal preference. Once you zero your scope you make your adjustments for windage and elevation accordingly.
There are lots of discussions about scopes on the precision shooting forums so it's worth searching for some of those and reading through the posts. There are elitists who say that any scope under $2,500 is garbage, and die-hards who say any cheap glass is fine as long as you know how to shoot, so the truth lies somewhere in between.
If you're on a budget Primay Arms scopes are a good value for the money. Next level up is Athlon, then Vortex, and then you're into the +$1,200 range.
Regardless of the scope you buy, you need to know some detail about the ammo you use and the shooting conditions in order to effectively dial-in your shots.
I use this free online calculator to create a dope chart when I'm shooting long distances:
http://www.shooterscalculator.com/ballistic-trajectory-chart.php
At a minimum you should plug in the weight of your rounds, velocity, zero range, and wind conditions to build your chart. From there you can dial your scope based on the distance of your targets.