Sorry, we do not have any experience with using pure Eclipse and Segger J-link here, in NXP online technical support team. We support only our CodeWarrior software (also Eclipse-based) and CodeWarrior TAP debug probe.
Note you can download full-featured 30-days trial version of CodeWarrior and use to create bareboard LS1021A project with all necessary initialization steps.
For LS1021A please use "ARMv7" version of CodeWarrior:
CodeWarrior Development Suite for Networked Applications|NXP
Segger J-link is usually used for microcontrollers, but not supported by CodeWarrior ARMv7. Here is a direct link to CodeWarrior TAP debug probe and Coretex 10-pin debug probe tip.
CodeWarrior TAP|NXP
QorIQ LS Processor Probe Tips|NXP
Have a great day,
Alexander
TIC
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