As far as I can tell, Esrael is losing popularity. He's still popular, but from being in almost half of all ranked games, really the only way to go is down.
I have pulsefire ezreal but I still dont play him that much, there are better adcs, ezreal has really great mobility but lacks the aoe damage that other adcs can bring
He's all about an early game presence. His ability to engage a fight and have his E flash to continue to chase you back to your tower is pretty deadly. I agree, though, his lategame is basically just autoattacking.
I gotta say, I have experience with Vayne and she is quite hard to play b/c she is squishy. Other than that, if you know how to play her, she is an awesome carry. I personally do good with her every round because she is my main ADC.

