It would be nice to see some pictures of your carb, because each carb is different.
But let's see...
There's usually a drain screw at the bottom of the carb, which allows to drain accumulated water and/or fuel from the floating chamber. There's typically a port for a hose, which just leads to the ground. I.e. this hose is not connected anywhere. If the scooter doesn't start after a long while sitting around, a first try is to completely drain the carb. It will fill up with fresh fuel from the tank, which will burn better.
The upper part of the carb usually has at least two ports: One fuel line and one vacuum line. The fuel line leads directly into the floating chamber. If you disassembled the carb, you may have noticed a small pencil-like stud, which is the valve regulating the fuel level in the chamber. This stud closes the fuel line when the level is high enough.
However, this valve isn't strong / tight enough to prevent flooding the motor when the scooter is sitting around. Therefore, there is another valve at the bottom of the tank:
By applying vacuum to the lower port, the valve opens and fuel flows out of the upper port. This vacuum comes from the intake of the motor, and a port for this can often be found at the carb. This port usually sits in the middle of the "pipe" near the outlet of the carb.
Sometimes, there are even more hoses. For example, two for carb heating if the scooter is water-cooled or one with small diameter for oil in case of a two-stroke-engine.
So, if this doesn't help, please post some pictures, and if you have, drawings!