The correct options are
A A reaction occurs from right to left if Ecell<0
B If the system is at equilibrium no net reaction occurs
D A reaction is spontaneous from left to right if Ecell>0
If the system is at equilibrium then E=0 so no net reaction occurs.
Also, from nernst equation it is clear that Ecell is temperature-dependent.
A reaction is spontaneous from left to right if Ecell>0 and reaction goes forward.
Also, reaction occurs from right to left if Ecell<0.