Replying to Bootfitting

I've got a couple questions about boot fitting, first being, should my heel be able to lift when it's in my ski boots, my current boots if you press down with your toes I can lift my heel a small amount unless I tighten my boots to the point of cutting off circulation. If this isn't right would I be better off in a boot with a narrower heal. My next question is when I lean back should there be space between my liner and my shin, when I lean back there's about 3/4 of an inch between my shin and the top of the liner. Thanks for all your help