Mama's, I Need Help - Opinions/Ideas NEEDED

Calling all Mommies’! This mama needs some help with her baby girl. My happy baby is gone, and we now have the most whiney, miserable child and we are at are wit's end on what to do. As you know from my previous post, we moved, so I'm sure that maybe part of it. She started a NEW daycare last week, after being home with me for almost 3 months, I’m sure that is part of it. All she wants is her paci and blanket all day! As soon as we get home from work/daycare, she whines and cries for it. Here's the thing, I don't want her to have her paci in her mouth all day, we limit it to bedtime/naptime. She will throw herself around and whine and cry, pull on my leg, anything to get our attention. I'm to the point, where I want to take it away permanently, but also feel bad because I know she is just in a huge transition.
Has anybody else gone thru this? Do you have any ideas? I would rather not just give her the paci to make her stop; I don't want to get in the habit of letting her have it all day, every day.

Then there is eating. If she doesn't want something, she throws it on the floor, or will whine or cry until we take her out of her chair. I also don't want to get in the habit of making something different for her to eat. At what point did you ladies start saying, if you don't want what we are having, then you aren't eating, or you have a choice of some healthy snacks and that’s it.

Am I being too strict? She is 15 months, am I expecting too much at this age? Any opinions/ideas would be great!!