in the beginning i didn't take correct care of them, so they're rusty
Yeah, take the guards/soakers off when you get home.
I assume the rust is on the runner part of the blade? If so, yes, a sharpen will remove the rust.
The sharpening wheel will clear the hollow part, then as a finish the burr at the side is sanded away.
Most blades are chrome plated so the rest should be generally okay?