Don't worry about being able to clip in and out quickly and easily, it will come with practice. I have used any number of clipless pedal systems, and no matter how they are designed, it takes time before you learn how to get in and out quickly.

If you are using Shimano SPD cleats which are silver colored, there is supposed to be some play in them. Some rotational play is normal, if your shoes are locked to the pedals, then everything is fine. If you don't like the play, you can switch to the black colored cleats, which are designed not to move around. But when you use these type of cleats, you really need to know how to properly set them up to avoid discomfort and possible knee pain.