brake lights will not turn on if ignition does not turn on.
Ignition will not turn on if the immobilizer is not good (reprogram the module), or if the PTS connection is failing (remove t-tap if using a t-tap).
I would personally suggest to first verify the PTS connection if you are using a plastic connector on it. Your issue may have simply been that.
For programming @ step 5, module is either no reading the immobilizer data or the yellow wire does not receive ignition. If you have another key, try programming with that one.