When Culex says he inherits time, it's power over time. It would have to all of it, not just time on a minor scale, due to Culex stating he inherits it from its beginning to end. So it would all of time. It can't be on a lesser scale. Seriously, you are ASKING for visuals when you are well aware these are statements being used for tiering. Knock it off with that. Yes, Culex has power over time.
Power over all of creation =/= "I am the strongest being", where the hell did you get this idea? Power over creation relates to, oh I don't know, creation? Considering how he also says he is part of matter and antimatter, I would say he's related to, you guessed it, creation. Nowhere is it stating Culex is the strongest, none in this world refers to the dimension Culex is in, since you're meeting him from a dimensional rift in the first place. Plus, Culex is stronger than Smithy, the final boss. So Culex is certainly no push-over either. Culex very well has power over space and time, and it would have to be on a Low 2-C scale. As stated in the requirements for Low 2-C, we accept affecting time and space as Low 2-C.
Once again, the extent would have to be all of time as said above. I really like how you absolutely have to nitpick arguments, it's literal reaching. What does "I consume time" mean? Equivalent to destroy time. Similar to Solaris being able to "Eat dimensions for lunch", its very clearly just a statement about being able to destroy time. You make the question overcomplicated for the sake of having more random arguments. No reason why it would be a hax-only thing, hell the cast take hits from his crystals and dark star attack, so they can already survive his physical attacks and ability attacks.