Jeff, … I’ve come across situations like this as well. And to me, it’s an accident just waiting to happen. Bruce (B) described the situation very well, and I agree with him 100%. All too often carpenter wanna-be’s build things to improve the looks of their house, which is cool…. But fail to look at the structural integrity of what they just built and the consequences (liability issues) that can arise.
(1) If the beam twists or topples, (2) the rafters will follow, and we all know what happens to (3), …. One Two Three it all falls down.
At a minimum, I’d place metal support plates on both sides of the Post-to-Beam connection, and place hangers on the Rafters-to-Eave connection. Is that 100% safe ? No – but it’s better than nothing and as it stands now.