Greasy foods for me not always fatty but if it turns greasy then it turns real bad. I too am in the no nuts or seeds club although I still do now and then. My big, big issue is with anything deep fried. I am more or less in remission right now but still anything deep fried can send me running. Suprisingly ceasar salad isn't always my best friend but I have no problems with regular salads, must be the dressing.
Anyway best of luck figuring it out, it can be a handful. I am a big advocate of food diaries, especially in the begining. I put off doing this despite being advised to do so and well it took a long long time to figure out what wasn't working for me (the list is a lot bigger when I wasn't on Remicade). It gets hard when you start having complex meals like say a stir fry and then you get sick. Well in the stir fry it could be the rice, the meat, or anyone of the vegetables.
Best of luck with everything and hope you figure it all out soon.