SHE said she didn't need it and to throw it away, correct? So you didn't force her to give it up and I wouldn't replace it. And, just like with potty training, little ones have to want their specific reward or it won't work for them. Maybe Build a Bear wasn't what she truly wanted or needed and isn't familiar enough.
Hopefully she has a bedtime ritual you follow every night. If so include extra hugs and cuddling, stories, (there's books about giving up pacifiers) and a rub down with nighttime lotion after her bath. No TV, keep the lighting in her room low, keep the room darkened (we use a shade) so light doesn't come in, some white noise (we use a fan,) talk quietly, almost in whispers, slow things down, do whatever you can to make it relaxing for her. The problems she's having during the day...crying, not wanting to stay in her car seat, battling bedtime are most likely related to lack of sleep, secondary to giving up her paci, and concentrating on her night time routine may help.
I wouldn't bring it up but is SHE refers to her paci gently remind her that she chose to throw it away, that it's gone and quickly divert her attention. Let her sit and cry in her room rather than taking her to yours, or sleeping with mom and dad may replace the paci (unless you don't mind) and you'll have that to deal with. You can sit with her in her room, hold her, rub her back and talk softly to her to ease her crying and relax her so she can go back to sleep.
My guy only took 3 days to get over his "suckie" and I've heard and read the worst is usually over in 3 days to a week. I really hope everything goes back to normal very soon for your family.