My daughter is cracking up in her room 2 1/2 hours after bed time.. I just wanna squeeze her cuteness. But go to bed!!!! Lol

So I’m in need of help..
My daughter keeps breaking out bad.. we thought it was the laundry soap we use to wash laundry (arm n hammer) , and so we switched (ALL, and XTra) but she keeeps breaking out.. my mom made a comment saying it could be her bed... could it be? Do we gotta get her a new bed??? I just want this rash over her to go away 😩 here’s a photo of her back.. it’s also on her cheeks and chest and legs and arms.

Y'all I feel so helpless😭
I wake up at sunrise to undress my daughter and lay her in her bed in front of the window for her to get sunlight ... I worry about her getting sunburn😔
The crib bedding set I got her, her theme is the little mermaid
I'm not at all comfortable with the thought of having my baby sleep in a crib so therefore she will sleep with me & her dad . Eventually I will have to get her to sleep in her own bed but until then she is to sleep in my bed & idc what anyone has to say about it