I need advice please!!!!!!

Hi Everyone.
I am a 4ft 11 and half inches, 25 year old and 127.5lbs. I would like to give you some background on my problem. I am trying to lose weight and not losing any I work out at least 5 days a wk – on each day I run on average 6 miles a day I then do another 30 mins cardio or else a spin class for an hour (that’s 2 hours of vigorous work out a day). I also include some weight training 3 days a wk on top of the cardio. I always really push myself during my workout and raise my heart-rate I am totally drenched by the time I leave the gym. From what I have read with my height and weight and my weight loss goal i should be on 1165 cal a day diet to lose 1-2 lbs per wk. I have been working out constantly for over three months and have not lost any weight. I understand muscle weighs more than fat but at this stage I feel i should have lost something. My job is moderately active I am a PE teacher. So I decided to go to a nutritioist and he told me I wasnt eating enought food for what I was doing. he has told me to cut my cardio down to one Hr per day 5 days per wk and to cut out all weights. But I have a problem with that the weights I do keep my heart rate elevated and work on two muscle groups at a time.
He says I have enought muscle I have always been told that you do some weights to keep your metabolism up and also if I lose weight it will be harder to tighten up all the lose skin.
I just dont know what to do as cutting out weight go against everything I have ever been told by fitness experts. He has told me to eat some more starches aswell and has told me how much starch protein etc I should eat at each meal.
I hope someone can give me some good advice because im prepared to do what he says its just the weights thing is bothering me.
SOMEONE PLEASE HELP ME!!!!!!!!!