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All brake lines are the same age. And the front brakes do virtually all the stopping. If you lose a rear line, you will feel pedal change, but you won't be buying the guy in front of you a new car...probably. So replacing the entire front system is a good idea.
To answer your question, Yes. Stock bleeders can be used.
Speed bleeders cannot be used. After some quick research, it seems that you need some pressure (either force from a pedal or suction from a vacuum) in order to open the 1-way valve on the speed bleeder. https://www.motorists.org/blog/how-to-bleed-brakes/ <--This website is a nice quick read on gravity bleeding your brake lines. It addresses speed bleeders at the end.