Yeah, man.....152 is dangerous stuff , most people who read this and are 5'8 or 5'9 or something will think it is thin, but they really have to put into consideration the fact that you're 6'1-6'2"....thats like a 5'9 guy weighing 100lbs.......
If your dad is an MD and you feel he can provide you with resources and intervention and help that you can't provide yourself, then it is a worthwhile opportunity.....the weights will be here when you're better.
To answer your question......yeah, you need to get off the treadmill period. No incline walking, no AR, just bag cardio for the immediate future at least. Honestly, a month off all training where you can just eat and rest would probably do wonders.....I don't know the kind of physical state you're in right now at the moment obviously, if you feel you can keep training, a 3-4 day workout schedule would be ideal.....as far as eating, yes, don't gorge, going from one extreme to the other is not good....If it were me, I'd forget about all the worry and just eat, have 3 whole eggs with bacon and white toast for breakfast, have a shake for a snack, have a turkey sub w/ baked lays for lunch, another protein shake and some fruit, then train, then have a PW shake, then a dinner of red meat or fish and any starch and veggies/salad.....maybe a scoop or 2 of ice cream or a small slice of something sweet (pie, cake) with a glass of milk later in the evening..... just something 'normal'....this is just an example, it isn't this easy.....what you need is good, comforting food, you're physically sick, but it is complicated because it is an emotional issue causing the physical, so it is not as simple as 'shut up and eat'......if you think you can do something....or if there is something me or anybody else can tell you to help you get past that mental issue and just eat and not be so neurotic with the exercise, then you can do this.......if you know in your heart of hearts that isn't enough, then you need to take your dad up on the offer and get better.....you're a young guy, in 6 months- a year, you'll still be a young guy and you can give this thing another go.