If actual scales came off, they will have taken their color with them and left raw skin, sort of like removing a fingernail. If there is no raw skin or open wounds, there's no need for any treatment to prevent infection.

Like GarterGeek said, a snake will shed about twice a year regardless of growth but a growing snake sheds often because it outgrows the old skin. For example A baby concinnus usually sheds about once every 4-6 weeks during it's first year but an adult over 3 feet may only shed 3 -4 times a year.

There's more to be considered than the size of the snake. If you use anything less than 10 gallons can be difficult to keep anything but uniform heat. In other words, a gradient from 70 -85 degrees may not be possible in something so small.