Debt is rising simply because people are spending money they don't have
You are right here, they are spending money they do not have.
There is a caveat, though:
Again, if people stopped spending so much unnecessarily prices would fall, meaning real wages would increase.
Not really. If people stopped spending unnecessarily, companies would stop selling unnecessary things, so they would stop producing unnecessary stuff, so they would fire redundant workers, so the added competition would lower wages, so their real wages would stay equal, or get lower.
Debt works as doping for the economy: you spend (or invest) money you do not have yet. Everybody feels richer, and everything works fine as long as your investments pay out. Of course, failed investments or plain spending, coupled with debt, bring along innumerable problems.
So you are perfectly right in saying that people are spending more than they have: they have all been - pushed - to make countless debts to cover expenses ratther than investments, though, and now they can't keep up. They will stall, and you can't really blame them, unless you also blame those who lied to them and tricked them into giving them their money.
Of course, it will problably be the standard people getting the worst, because they have less power than the rich: they will be told they are stupid, they spend too much, they now have to pay for their own misery.
Yet not once it is said that those who deceived for so long are crooks now enjoying undeserved money.
That part is always forgotten because "hey, it was their choice to make debts to pay for the luxury phone, wasn't it? It surely wasn't my psychologically manipulating ad campaign!"
You can retire as a millionaire by investing $100/mo but people would rather lease the latest car, upgrade their cable package, etc.
I suspect the US are a different world, but how could you do, this way? You are right, though, on saying that people would still be preferring short-range rewards.