You put dowels on the bottom layer, cover with the cardboard, then the next layer. You can then put one long dowel down the center of both tiers. It should be fine.
I just found out, the cake is a boweens work, i give her the credit, ok?
The cake seems small enough that the dowels will do fine. Be sure to put the entire cake in the vehicle on rubber matting to keep it from sliding around. Be sure to take it slow around the turns also - bumps etc. Keep it cool in the car too. Let the cake crust to help it firm up also. Good luck!
Thank you both for your help, i will follow your recomendations, it is due for friday so i'll let you know how it goes.
Ruty, I am just curious. How are you storing this cake until you need to deliver it on Friday? I am doing a wedding cake and have no idea how I am going to store it until I need to deliver it. Does it have to be in the frig?