Do the keys stick up by the paper or down at their resting place? If the former, it's an easy fix (usually) involving just cleaning. Work a solvent into the slots of the segment for those keys and work them back and forth for a while. I successfully use alcohol or naptha (aka cigarette-lighter fluid). If that doesn't do it, check for gunk at all the other places in the linkages and check for bent links that might be getting hung up on other near-by parts. Once you get it all cleaned and working well, you do not have to oil any of these parts. Light oil on the carriage rails is OK but not so much that it holds dust.
But if they stick while down, that's a bigger deal and I'm not going to worry about it until you confirm that's what the problem is.
How do they work? Smith-Corona electrics have a motor in the back that, through a rubber belt, spins a three-bladed, <1 inch diameter rotor near the middle of the machine. When you press a key, that action releases the corresponding link which drops down to be hit by the spinning rotor and then be kicked up to the platen. All the typebars are kicked with the same force, independent of how hard you hit the key, so the type impressions are all uniform. Do NOT let that rotor catch your finger while you're investigating!
You also have a powered carriage return and that is handled by the same motor through a whole different mechanism: a clutch, triggered by the CR key, engages a pulley that pulls a cord attached to the left end of the carriage in order to, well, return the carriage to the left margin. Early S-C electrics had a manual CR until the engineers perfected the powered one. Both manual and powered carriages are advanced by the same spring-and-cord arrangement as most other typewriters.
Similarly, you probably have a manual Backspace because of the difficulty of designing a powered one and the fact that the Backspace is much less used and so less of a selling point. Some machines also have that, though.
HTH