Impendences should be measured when power off.
If the board could not work, you could check the power rails and all signals which are related to the boot.
Assembly problem could not be exclusive.
For the issue boards, please check all power rails follow the SPEC, sequence, voltage, current, AN12028_QorIQ LS1028A Design Checklist, chapter 4 and Data Sheet, 3.1.
If the power rails are correct, please check related signals follow LS1028A Reference Manual 4.8.5 Power-On Reset Sequence Detailed Description.
For the overheating board, please confirm the heatsink design meet the requirement in the datasheet, chapter 5.
Thanks