Help with possessive(?) cat

I adopted a gray kitten 1 years ago and raised her from 6 months old, we're really close and she likes to be petted and play with me. When I adopted my second cat, she looks a littler unhappy at the beginning but soon accepted the new member. The new cat was leftover by her old owner and lived on the street for 6 months before I adopted her, so she is kind of possessive.....she follows me everywhere and try to hit my previous cat when I try to play with her. But other time, they can get along with each other, I saw the new cat licking the previous cat several times and they always chase each other as a game(I guess? None of them made the hiss sound or any warning signs)........Now the problem is my previous cat doesn't want me to pet her anymore because the new one will hit her.....even when I try to pet her, she will just run away......Any idea what should I do to teach the new one not being so  possessive and let the previous cat not afraid of being petted??Any suggestions would be greatly appreciated!

And I'm also really upset about the previous cat become not close to me Even the new one also really sweet

We are going through the same thing in our household.  I brought in a 2 year old and introduced him into the household with an existing 12 year old.  The 12 year old is the boss of the house, and the 2 year old knows it and generally respects that, but he is a hog for attention and my poor 12 year old refuses to compete and will just walk away. 

I think it is depressing to my older guy, so we are finding ways to give him extra attention when possible, and I corral and contain the younger one every night so the older one can have some one-on-one with my husband.  He sits and brushes him for about 30 minutes every night, and unless I hold the younger, he is right next to them in his face wanting attention too.  I can hold him and pet him and he still wants OVER THERE.  It goes the opposite way as well--if hubby is holding him, and I'm brushing or petting the old guy, he wants to come to me!

We are just doing our best to keep him back and away, and maybe teach him he has to wait for things sometimes!  I don't know the answer, but hopefully someone can give some tips on teaching them to share attention.  My younger one was a former feral, and lived in the woods alone and scared for most of his life before I gained his trust, so I think he is just eager for love and attention, not necessarily "jealous" or possessive or competitive.  I truly think he just wants the petting and loves!