Sounds like 2 things going on at once.
First, to run right, both bowls need to be filled.
Try blowing into the fill tube on the cover the rear carb.
Only when the needle valve is pushed up, should it stop taking air. (That's how the float regulates the fuel level in the bowl.)
If it flows air okay, check the last piece of hose to it for a flap or other blockage.
Once you find out why you are not getting fuel in the rear bowl, you should be able to at least run.
After that, you need to balance the carbs and adjust the linkage to get the jets moving in unison. Follow the Haynes
or get a fried who ACTULLY KNOWS what he/she is doing to help you with it. You will be amazed at how much better it will run when the SUs are working together! If you get really stuck, I can probably talk you through it on the phone.
Adam (I wish I HAD a shade tree to work under so I could be a shade-tree mechanic....)