The Stomp carrycot does not have any straps for your little one.
However, we do recommend buying the Luxury liner (this already comes with the Stomp V4) for extra support. Please see link: Stomp Luxury Carrycot Liner| Travel system Accessories | Ickle Bubba
Alternatively, you could also purchase the newborn cocoon: https://www.icklebubba.com/travel-systems/travel-accessories
You cannot use the carrycot in the car while driving.