Hi,
Regarding your first schematic, generally you need to put the transistor on the low side. Otherwise you need a higher voltage on the base than you've got on the collector. Put the relay "on top", then on to the motor and finally the transistor at the bottom, emitter to ground. Yes, the motor is biderectional but the current thru the transistor is always the same so put the diode back across is, cathode facing "up" of course.

/Henrik.