I recommend changing the entire master cylinder, because it is now very old and likely to have some wear or corrosion in the bore. The bore must be absolutely perfect, with no pitting or scoring. But there is a small chance that it will be.
Also, be aware that a typically mucky garage is NOT the place to rebuild any hydraulic cylinders, as an extreme degree of cleanliness is essential. That is one reason why rebuild kits for most cars are no longer available. The best place is on the kitchen worktop or similar, but the cylinder needs to be thoroughly cleaned on the outside before bringing traces of dirt into the working area.
I actually use hot water and washing up liquid for thoroughly cleaning the stripped cylinder, then a good wash with meths and blow dry with compressed air (one of these little aerosol cans for blowing muck out of computers will do), immediately, so rust has no chance to form. Then, lots of fresh brake fluid as lubricant when assembling.