Learn English – How to say: “I will try to move it to an earlier time” or what is the opposite of “delay”

Just use the nearest synonym for either "along" or "way". This will keep you away from the set phrase "along the way".

For instance, use "You will meet your guide along the road/path", or "You will meet your guide somewhere on the way".

I would actually not describe times as being old or new, but rather the objects are old or new.

The object with the lowest creation time (lowest creation time stamp):

The oldest object.

How to find the first modified object?
Take the first object that was accessed after [some moment in time].

Leave it to whoever has to answer / implement this to make it technical. Just describe in everyday language what you mean: the newest object, the object that was last modified, or accessed, the objects that were created last week, etc.

In technical lingo, I would rather not use timebut time stamp, and I would certainly not use newer and older, but rather higherand lower to mean more, rep. less recent.