Well, there are basically only three things in the system.
The switch, the resistor pack, and the fan motor.
Plus, of course, the wiring.
Fan motor does not count, it runs at whatever speed its told. So, either you have a bad switch, broken wire, or the resistor pack you put in is bad.
You might compare the old pack with the new. It seems to me that there are systems out there with only three speeds.
If your new pack looks different, that may be your problem.
Also, make sure that a contact did not push out of the connector when you plugged in the new pack, or one might be burnt.