ANPA or HKS has nothing to do with Pantone.
Actually in the Solid Coated and Solid Uncoated Series Pantone colors are the same, only printed on different stock (this of course doesn't apply to the Process Series). To match the printed result on screen they need different color books.
Which one you choose now depends on several criteria like: on which kind of stock do you print, if you need an exact representation on screen or if you need to automatically convert spot to process.
You mabe want to dive deeper into how color works.
what i cannot figure out is why is it when i type in the "find"the particular PMS number nothing comes up?
Pantone overhauls the color tables now and then.
So since nobody knows where you got yours from or what they are based on, no one can tell. Ask the person who handed you those tables.
Pantone numbers are 4 digits so if you want a 3 digit color enter a space first and then the 3 digits.
The reason I ask about the pantone is because I had the impression all you do is type the code and illustrator finds it for you. Now I did find the these codes in the specific colour book. So what id like to know is, if we are asked to find a specific colour lets say from the HKS N PROCESS, does the colour chart have a referral code which says its from the HKS N PROCESS colour book?
HKS works different than Pantone, as the inks are different for the books. So HKS should be named like "HKS N 45", so you know which book it's taken from.