Yes, vaccinate that kitten & get it's rabies shot also. Make sure you get a good flea treatment product as well. All of this is very important to your kitten's health. Make sure you give it lots of love & attention also. Spoil it just like all my babies are spoiled.
Hills Science Diet or Iams both are excellent foods for your kitten. They are a little more expensive but they are well worth the price in the health benefits they provide.