Ryan,
While I have only limited personal experience, only one day on you, I have done a lot of research on this breed. You need to let her bark away and NOT go let her out until she stops. You don't want her to associate barking/whining with getting out. I stayed stong on the first two days and now she barely whines at all.
And for the eating, mine didn't eat or drink a thing until this evening (I got her Friday)...the breeder said that is very common. For me, it was like the dog just suddenly realized that there was food and water and gorged! She still won't take a treat, but I'm confident she will be fine.
Hope this helps....And I would recommend "Dachshunds for Dummies," it was my favorite of the books I read on these dogs.
Cindy