Dealing with parked cars where the Tesla has to cross or go closer to the central white line seems to result in computer says no - as it should do really. It seems to mostly recognise it's a 'car', or sometime a 'cone' but doesn't know whether to swerve (it's parked) or stop (it's the back of a traffic jam/solid brick wall) so it just assumes it should stop.
Likewise with oncoming traffic crossing onto your half of the road - naturally the computer panics and brakes.
If you think about what you as a driver do, you're looking past, around, under, even straight through parked cars, using car body reflections on unsighted bends, reflected movement in shop windows etc to get as full a picture as possible. Cameras just aren't that clever. Maybe a google streetview car raised camera is the answer.
My Audi had adaptive cruise and would brake for binbags/parked cars/central reservation island crossings etc on 20-30-40mph single carriageway roads. Tesla MS so far seems to be the same. Trick for smooth progress and zero windscreen-nose contact is to flick out of cruise as you approach, manually control the car through the problem then flick back into auto, and not attempt century-old road layouts in AP like the bloke on youtube with the blue tape on his steering wheel.