1) There’s a button for Track Motion that might be hidden by default. To enable it see first image: Right click on your video track -> More -> Edit Visible Button Set -> Toggle Track Motion -> OK. It will then appear on your video tracks as the button I’ve circled in the 2nd image.
There isn’t a keybind for it by default and I don’t think you can actually add one. I tried and it just didn’t do anything. If you want to try your luck: Go to Options -> Customize Keyboard and search for “TrackMotion” in the top bar. Select it, click inside the shortcut keys field and set it to anything you like. It will show potential conflicts at the bottom.
You can dock this window and have it as a tab next to Project Media, Explorer, etc. – see 3rd image.
To dock it, you need to open it as you usually would, but hold Ctrl when you move it – this will enable docking. Then drop it into your desired place. Can be a bit finicky, but you only need to do this once. It has “Track 2” in the tab name of my example, but really it shows the last selected Track Motion.
2) I haven’t encountered this problem myself, so I don’t really have a fix in mind, but there might be a workaround that doesn’t require a restart.
Technically if you expand the track keyframes by clicking on the arrows highlighted in image 4, you don’t need to see the diamonds in the Track Motion timeline. You can add/move/delete them there; can also right click to change interpolation there for motion (didn’t actually work for other effects in my case).