Ok, I think I know how to get the O2 % from the lambda value.
Here it goes: % O2 in dry gas = 12.5 (lambda - 1)/(8 + 12.5 (lambda - 1) + 3.76 x 12.5 lambda)
% O2 in wet gas =12.5 (lambda - 1)/(17+12.5(lambda - 1) + 3.76 x 12.5 lambda)
where lambda is as found from one of your respective formulae. This formula should work for flue gas from any hydrocarbon. The real percentage of O2 in the flue gas will be somewhere between those two values, depending upon how much condensation takes place upstream of the sensor.
Btw, where can I buy Spartan 3 Lite with LSU 4.9 ? It seems difficult to find a source.