There is no particular or common problem with either the 1.6L or 1.8L that prevents these cars from starting in humid conditions. How many miles are on your Toyota and what is its service history? Has the car had a recent tune up that has included spark plug change, valve adjustment, fuel and air filter change, check the ignition system, ect.... Once the car is starting off in a "tuned up" condition I would be look at the Coolant Temperature Switch input, I would verify fuel pressure, and I would "water test" the ignition system insulation for integrity. To get your car to start, do you press the accelerator pedal to the floor and crank until the engines "catches" if so that is a sign of too much fuel and you are doing what some people call "clear flood mode".