Thank you, si++. The most important thing to remember is that bütün/tüm cannot be used for this meaning.

What is the difference between

                           az and biraz

                           çok and birçok

                           kaç and birkaç

                           şey and birşey?

I don´t know. It is the same thing with little/a little, few/ a few.

That is what I suspected. So am I close if I translate

az ´too little/few, something lacking´

biraz ´not much but enough´

çok ´too much/many, more than enough´

birçok ´quite much/many but don´t get me wrong I am not complaining about the great number of the objects´ ?

kaç/birkaç of course occur in different discourses (question/declarative) but how much does is birkaç actually mean? Is biraz + singular referent, birkaç + plural referent a valid rule?

Yes but it means more than one.

Some enlightenment to the issue. Thanks, gokuyum.