Transistor issue

Okay,

First, those transistors have typical gain ranging from 150 - 270. This means almost any EMI in the area will cause the transistor to turn on, at least a little. The base needs to be connected to something, so the first circuit is a no go. 2nd, the next circuit you show is also a common collector circuit, which is probably not ideal for your needs, and it would need to have a base resistor to limit the base current. Setting it up as a common emitter would allow you get a little more potential across the motor too. Finally, the transistor is not up to the task of running even a tiny motor. You almost certainly need a bigger transistor and I would recommend a Darlington arrangement which is basically 2 transistors, althogh you can buy power Dalingtons in a single device.

See the attached schematic. It will handle a motor that draws up to 10A and is pretty cheap.