Maybe there's a clean way to approach paradox issues (e.g. the universe course corrects), maybe it can be completely side-stepped, or maybe it can be swept under the rug.

Honestly, if technology is the reason for time travel, and if all information about NLT is available throughout the whole span of time that it exists, then it could very easily be something built into the technology that makes it possible in the first place. The tracker one wears would have a kind of paradox-avoidance feature that keeps one from going to a place/time they've already been, or from encountering any situation that would otherwise divide by zero.