Are neutrinos affected by electromagnetic forces? I know they don't interact with matter nor any electromagnetic forces, but I know they have mass, very little mass but they have. When something has mass it must be attracted by gravity and other objects (electromagnetic) right?
 A: First, their being influenced by gravity is something completely different than their electromagnetic interaction.
All objects and fields that have a nonzero mass, energy, or momentum interact gravitationally, and so do neutrinos – although they're very light and hard to produce so the gravitational force from any neutrinos we know is undetectable at this time.
Neutrinos also have negligible but nonzero interactions with the electromagnetic field. They're uncharged and have no "tree level" interaction with the photons. However, a neutrino may split to a virtual electron and a virtual W-boson, those may do some thing, attach to (influence) other particles, and then the virtual particles become a neutrino again. These higher-order Feynman diagrams predict some interactions that are undetectably tiny.
In practice, neutrinos only interact via the virtual W-bosons, the weak nuclear force, and this interaction always looks like some kind of a beta-decay (or its reverse). Neutrinos also oscillate which is given by the mixing in their mass matrix – and this behavior isn't considered an interaction because it involves no other particles.
