design not showing correctly on popup

Hello, I have designed a pop up and an embed and when I look at the preview within the plugin they look great.

When they show on the site, however, the design is wrong and not really functional. The email signup section isn't showing correctly, so it is near impossible for anyone to sign up. It's especially when using the design option no. 2 (out of the 4 options) that this happens. That's the design I like most.

I hope you can help me with solving this.