I didn't think much about it until it was brought up here - I'll have to watch the Zemo bits more closely when I go to see it again. I thought the events unfolded like this:
#1 - Zemo wants revenge on the Supers for accidentally killing his family
#2 - Widow releases the Hydra files to the public in CA#2.
#3 - Zemo decrypts several of the files and discovers Bucky's brainwashing. He then attempts to follow leads to track Bucky down and use him to drive the Avengers apart. The encrypted files likely showed that Winter Soldier killed the Starks.
#4 - At some point he gets his hand on the Hyrdra Photostatic Veil and uses it to frame Bucky for the bombing, which accelerates support for the accords AND flushes out Bucky.
#5 - Zemo brainwashes Bucky to fight the others and asks for detail about a specific mission, which he couldn't get from the first guy he threatened. He clearly wants to know more about either the other soldiers, the base, or what happend to the Starks (probably all of the above)
#6 - This leads him to the Hydra facility where he kills the other supah soldiers, then has time to snoop around for files, video, etc. on the program
#7 - SHIELD/Widow/Stark discover that Bucky was framed, so Zemo rightly guesses Stark will be coming after him. Maybe he even leaked the info on the frame job to ensure Stark would be there
#8 - In the facility, Zemo tracks down the recording of Stark's parents being killed. It would make sense that the video would be there - it's not like they had a lot of videotapes or DVDs to store things on back in the 40's. OR Zemo hooked up the old style monitor to play the recording using the Hydra files he previously decrypted.
#9 - Just like the bombing, Zemo plays the tape to get Cap and Stark fighting to the death (I did actually think Stark was going to die when the shield cut into his ARC reactor
#10 - Having turned the heroes against each other, Zemo decides to kill himself rather than be imprisoned, but Panther stops him
#11 - After being incarcerated, Zemo implies that his plans did not fail, which makes me wonderif he is referring to the schism between the Avengers or if there are other machinations he set in motion. Maybe he wanted to die, so that he couldn't be captured and forced to reveal info on anything else he initiated.
Makes pretty good sense to me. The camera in the woods catching the murder was conveniently placed, but I think it read something like "Camera 3" at the bottom implying there were other cameras set up there. Guessing they set all this up to dispose of the Starks and ensure that Bucky was 100% under their control. Or maybe to prove to someone else that the Starks were actually dead. They would thus want some kind of video to monitor Bucky throughout the mission and ensure that he didn't hesitate to do whatever they asked. It's not perfectly spelled out in the movie, but that's the general take I had on events.