Yes, Yashikor is the better lens on the Yashica A. On the more expensive Yashicas you can find the four element Yashinon which is even better.
Yashica A was available in both black and grey. My grandfather's was black. I still have it, but most of the leather is gone. He let me play with it as a child. I bought another one as a present to my dad a couple of years ago and it's also black and has the Yashikor. I was pleasantly surprised at the image quality, so I also gave him a filter, sunshade, cable release and one of my lightmeters.
If you need filters and sunshade, find them used in 32 mm push-on mount. Any brand will do.
Welcome to the fine hobby of real photography! I'm 41 and learned to develop and print in the mid 1980's, and started to collect and use old cameras in the early 1990's after buying my first Rolleiflex. I still have alot to learn, and I love discussing photography on forums.
Yesterday I developed a roll of Efke 100 in 127-format. I had used a Baby Rolleiflex 4x4 from 1938. Fine sharp negatives, and today I will mix the paper developer from raw chemicals, using an old Agfa recipe.