On slope a.. Better to apply a bit throttle. Do not let it to creep itself. Think it like a manual car. If manual car you let it creep on slopes not only it can't move and judder like shyt but you will risk toasting your clutch also.

happen to me before, maybe 1 or 2 times.
after slot to "R", car move little bit, then stalled, it look likes gear not engage/clutch slip.

so, try to :
-press more  throttle, engine roarrrrrr, but not move - solutions : slot to "N" or "P", then slot back to "R", apply more throttle
-press more  throttle, engine roarrrrrr, then move - then it's ok 

Like that next time apply the handbrake maybe by 3 to 4 clicks. Then apply throttle gradually and when you feel car begin to go front, release handbrake and steer out.

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Added on November 30, 2012, 5:12 pm

Btw, Try to go sc and update ECU or tcu.

Still new ehh... Hmm.... Try rev a bit the engine before shut it off.

If defective fuel pump you should b experiencing power loss whenever you are driving the car.

The idea itself seems kinda stupid but worth a try....