Neccessity of a Comma?

Here's the sentence I have:

"Your father was a wonderful man, and he would have been proud of you, no matter what."

It's a compound sentence so I realize that the first comma is needed, but I'm stumped to to whether or not the second one is. Furthermore, I can't even figure out what type of phrase or clause it qualifies as being (I'm guessing prep phrase). The simple solution would be to just stick "no matter what," at the beginning of the sentences as an introductory element, but I don't have that luxury. The same applies to this sentence as well:

"He came from behind their lines, just as planned!"

Can someone help?