I agree that the first one is a myth but the second point is not a myth. Unless you have some respectable sources to prove it? Most health advisers seem to agree that missing meals causes your body to set off starvation mode and thus burn calories at a much slower rate than someone who was eating three meals a day (brekky, lunch, dinner). This slower rate of burning calories becomes fat stored by your body.
A simple google search will bring up a plethora of sites telling you this, you actually made me wonder if it really was a myth so I tried to verify your claim by checking the facts but cannot.
It takes days not hours for that to kick in.
It takes this kind of sustained abuse for your metabolism to slow down significantly.