If you want to make the camera smother, you can set the "Camera Smoothing Factor" to 1.
edit
You should also change it so that it sets the angle with a delay of 1 second instead of 0.3 (It looks much smoother like that)
Also, the "Sleeping" triggers are not working because they're being turned on after the unit has already entered the region, so the event isn't going to fire.
You can fix this by turning on those triggers and then moving the units to those regions.
The random lag spikes aren't actually lag spikes, they're just abnormal behaviors by the camera.
I think changing the duration of the angle setting from 0.3 seconds to 1 second will help. (As I said above)
There's really nothing that should or could cause lag spikes in that map.