Hey! you know that thing that let's men donate their sperm to people? you can do that with eggs too, (though you need surgery for it). When done right, and frozen at an early ish age (before 35, for the sake of conversation, perhaps) you could have children whenever you wanted! So there is your "advances in technology" to solve the "Our society facing issue because lifespans and societal change" problem.
However, I... actually hadn't thought about how, by virtue of simply living longer, people would be exposed to more things that could impact a pregnancy. So I guess that would still affect how likely birth complications are, even if the egg was picked at an earlier age.