Re: the crate...
I agree with everyone who has said move the crate inside with you. that in and of itself might solve the problem.
When my pup(s) came home I also put a old (old/old/old) tshirt that I'd worn (in cool weather, you can wear it under a sweatshirt and no one will know you're slummin'!) in the crate. It was old enough that I didn't care if it got ripped, but it had enough of my scent on it that it seemed to be calming.
Not scientific, but worked for us.
Kona-GSD (Always in our hearts...miss you)
"In dog training, jerk is a noun, not a verb."