replacing ign. cylinder...... rekey doors/trunk?

[BlackJack]

I'm replacing my daughters ignition/key cylinder in her 2000 Alero 3400.

Symptoms:
1) Dies at random when driving down the street
2) Randomly, fuel pump doesn't fire up when first turning on the key (off/on a few times, the fuel pump will start working)
3) Door locks go crazy and operate on their own at about 1-2 second intervals on occasion (unlocking because it's thinking the key is being switched to the off position)

My main questions are...

1) is the key cylinder/passlock assembly the likely culprit
2) is the key cylinder and passlock assembly all one inclusive part when purchased, or are they two different parts.
2) is there a re-key kit so I can make the doors/trunk match the new ignition key?