Greg,
At the soft end, steel is "dead soft" and then, "mild". If I recall my reference books correctly, "dead soft" steel is about 15 points carbon (that is to say 15 one hundredths of one percent) and "mild" steel is about 30 to 45 points. Railroad spikes, if I recall correctly, are about 50 to 60 points carbon. I have heard people say that 60 points is about the minimum you'd want to use for a knife.
I have an old book on blacksmithing, written in 1918, that states that "steel of 75 points of carbon will answer to nearly all purposes except lathe and milling tools" or words to that effect.
As carbon content increases, its hardness increases, and its "ductility" decreases. It's like "having your cake and eating it too". One thing is "hardness". But you buy it by paying in the coin of "ductility".
Thus, carbon steel, if properly quenched, is extremely hard. So hard that you cannot nick or cut it with a new file. I'm not talking about the slag after a cut, blood, hair, hide, or FINGERNAILS, but the steel itself underneath.
If you go through enough examples of rebar, some of it will be soft. But the vast majority of it will be some flavor of "high carbon". Therefore, the prudent hobbyist is careful about how and where he uses it. It can be welded. But in the cooling process the "heat affected zone" ("HAZ") becomes hard and brittle due to air quenching. And the higher the carbon the bigger the problem.
So how do you know? You quench it. If after a proper quench it cuts easily with a file, it is pretty damned soft. At least on THAT piece of the stick, which as Gunner so correctly pointed out, can vary wildly in the same piece.
And to orient you I am simply regurgitating what I've learned from others here. Many of these guys do more welding between the time they start work and their mid-morning coffee break, than I do in a year. I believe I remember correctly that it was Ted Edwards who suggested the quench the end trick. If it was somebody else, then my apologies.
Based on some of the things you've said, I really hope you'll find somebody to help you with the safety issues. Do you have flashback arrestors on your torch? Would you know what to do if you had a flashback?
As to your old bed frames... I wouldn't say they're "good for nuthin'". They're just not the material I'd pick to build a rack on which to store a few tons of steel. But again, you can find out by heating to red and quenching and then trying to nick it with a file. But you'll have to do each and every stick of it.
VT