The first one is just plugging the data into the nernst equation. Write out the nernst equation, put Ecell=0 and you get that E(standard)=RT/nF*ln(K), and K, the equilibrium constant, is the ratio of cations.
As for the next part, molar activity is the activity displayed by a mole of atoms and is independent of concentration of radiocative substance. A_m=lambda*N_A where where lambda= ln2/(T_1/2). Convert T_1/2 into seconds to get A in terms of disintegrations/second and then you use the fact that 1curie* = 3.7x10^10 disintegrations/second
*(no. disintegrations/second of 1 gram of Radon-226).
Allstarrr: One of your problems is that you can't say that m(I3-)=m(I2)initial - m(I2)used. I2 and I3- are obviously different species and so you'd have to take recourse to using moles to solve that.
As for equilibrium constants and their units, strictly speaking we shouldn't be using concentrations but rather activities which are a dimensionless measure of concentrations as such. So it's strictly not correct to use units in equilibrium expressions though we probably have to every time we calculate K or Q.