Any one can write a letter, anyone can use words, but not every one WILL make their actions parallel to the words.
As Lee said these are serious breaches of trust. And I agree with everything Lee said.
Now the how to fatten your girlfriend up bit. This isn't healthy, not good for your physical health, and probably not good for your mental health. How many overweight people live feeling badly about themselves

? Maybe he needs to do more reading about how to accept your girlfriend for what she is, and on appreciating health, wanting good health for your partner. How would he feel if you were attempting to change his body into something it isn't? I don't think he would feel loved by that, or respected. The fact that he is reading " how to fatten up your girlfriend " suggests to me that he is trying to find ways to do this without your consent. This is extremely wrong. I myself have come across similar fatten your gf up stuff on the net, when looking into my eating disorder, it has usually been focused on getting the results without the other persons awareness. Nothing about that says LOVE.
I hope you can sort out what is best for YOU!