I have not attempted to test this out specifically so this is only my speculation. The controls value is being done at run time and you may need a reversal rule as well as the main rule.
Rule 1 - if the control is checked, then hide.
Rule 2 - if the control is unchecked, then don't hide.
The reason for the two rules is that by default the code does not unhide if its not checked after its checked so adding the extra rule to reverse what was done by a previous rule can help. Not 100% sure that this is the case for you, but something I have seen happen before.
Also with tabs, it may be that the control on one tab may conflict with other controls on a different tab, thus causing an issue. Shouldn't but might. If you can export your form, I'd be wiling to look at it and test it out.
Adding the two rules(hide and unhide), appears to be working. The one issue I have, when I unhide the checkbox control, the label associated with the checkbox control will not unhide. Any suggestions on why the label associated with the checkbox control will not unhide?
Yes the labels are separate controls that is associated to the textbox/people picker/choice. I am able to hide the labels by applying the rule to both the label and the control. The issue I am having now, is labels or controls are shifting positions in the panels that contain the label/control that I am hiding. Any suggestions on why the labels/controls are shifting positions in the panel when hiding a label/control? Could you take a look at the Nintex Form if I export it?’
Yes exporting it will definitely help. As for shifting, something that may occur if there is an overlap of controls and things just aren't as separate and crisp as they should. Not your fault but just a nuance of the designer and rules.