I don't know if he needed them or not. Maybe he just wanted new ones. Maybe
I don't see how that makes anything "urgent"
No it doesn't. You're assuming that he went to Irving to get his gun and then interpreting his actions under that light. There's no evidence that he ever got a gun.
Does that mean he couldn't have been carrying anything? Does that mean he couldn't have taken something with him when he left and dropped it somewhere else, given it to somebody, left it at the bus station, or any number of other possibilities?
How do you know he lied about the contents when you don't know what the contents were or even exactly what he said about it? The answer is, you don't.
Marina saw a part of a wooden stock that she took to be a rifle rolled up in a blanket in early October. How is that evidence that the C2766 rifle was in the Paine's garage on 11/21-22?
Evidence of what? 3 fibers that couldn't be tied to any specific blanket?
Evidence of what. That Oswald was holding a rifle that may or may not have been C2766 in a photo taken in March or April?
Evidence of what? That unscientific handwriting analysis of 2 block letters on a photo of a microfilm copy of a 2-inch order coupon was claimed to have been written by Oswald?
Evidence of what? That an ID card that nobody ever mentioned in any report or interview prior to Oswald's death suddenly turned up in the evidence stream?
No, you are confusing the two concepts as everything you're claiming to be evidence doesn't actually support your claim that "his gun was taken to the TSBD from the Paine's garage". You're accepting that as true without proof.
According to Ruth Paine, Oswald had always called to ask her permission to visit.
Not this time.
That was the smart move: don't risk being turned down. Make sure to be in position to plead with the 'trouble & strife' for reconciliation. And maybe rifle through his stuff and see if there might be something, a tool of some sort maybe... that he could use to accommodate any activity he may or may not have planned for the next day.
Like hanging curtain rods, for example.