You are just looking at the file tab in the bottom half of the screen on the camera tab, where you can only see, as you say, the photos and the 11 seconds video which is captured when you hit the remote and I assume the auto save from motion detect. This is in your phones memory not the card I believe, and is when you have set auto download.
You need to click on the play button in the top half of the screen. Then when the camera is connected you will see the live view from the camera.
Now you need to click or double click or slide you finger on this live view again, sorry cannot remember at this mo. you'll have to experiment
This will give you a series of images left to right across the screen from here you can slide to where you want and stream to the phone or select different start and end points and stream or download. Also I noticed with a tap shows some other options. None of which I have experimented with yet.
Yeah I know not the most intuitive.