Starvation mode does not exist.
You do not need breakfast to kick start your day.
Losing fat but gaining muscle so your weight stays the same. Bullshit.
The quicker you lose it the quicker you put it back on. Again no. I could lose 1lb a week for a year or 52lbs in a 6 months. If I start eating more calories I need to sustain that weight then yes I'll gain weight! Regardless of how I lost it.
Eat six small meals a day. 