The difference between feasible and spontaneous is how easily it is done. A feasible reaction is a reaction which is thermodynamically possible, but might not happen at a given temperature, while a spontaneous reaction is a reaction which will just happen of its own accord at that temperature.
And yes, when G<0 a reaction is feasible.
Electrode potentials which are greater than +0.6V will happen. Below 0 they are impossible. Inbetween i'm a bit fuzzy on, i think they can happen under certain circumstances but are unlikely to.
Enthalpy deals with whether a reaction is spontaneous. If deltaS total is positive it is spontaneous. [DeltaS]
For the second to last line: deltaG = DeltaH - T(DeltaS system), so you want T*DeltaS of system to exceed Delta H. In other words, you want T*DeltaS to be a bigger positive number than DeltaH
Hope this helps!
Edit: FSM damn it, double sniped!