yes i wud recommend pushups then crunches then torso track and then cardio.
about your 2nd question. yes indeed “basic” theory is the same however your muscles aren’t gonna fatigued enough which does happens in weight training, for that just put intensity in your work as someone above said, keep rest times shorter and remember you aren’t lying on your sofa watching a movie you are working out so its not bad if you are out of breath through out the workout..keep that heart in the fat burning zone… 