Lots of questions to be answered.  I assume you have a method for transformation of the fatty acids to the FAME's.  If they're in water, you'll need to extract them from the water.  I use solid-phase extraction to isolate them.  I also use a pretty generic procedure and MeOH:BF3 from Supelco (
http://www.sigma-aldrich.com) to convert the acids to esters.
I would certainly start using the scanning mode of detection in the mass spectrometer.  You'll get good sensitivity with scanning mode.  If you're new to all of this, you may not know that you can collect a total ion chromatogram and then sort by the masses that you want during analysis of the data.  If you truly go SIM, you only get that one mass.  I have found that SIM is required only when I need extra sensitivity.  To me, it sounds like you're are probably not trying for "gnat's hind end" sensitivity.
I would certainly focus on the most common fatty acids found in nature (C16's - C22's, saturated and unsaturated).  Methyl esters tend to give a great m/z=74.  This makes them pretty easy to pull out of a complex chromatogram.  Your ability to detect them will depend a lot on how complicated your chromatography is after your extraction/derivatization.
Good luck!