Do Chinese people not use "和"?
和 comes from old verb "to mix two things into one". From "to mix" 和 developed meaning "with" and "and". But the old meaning still lingers there, that's why 和 can't be used in some situations.


  老板喜欢咖啡和茶。


works like charm cause you literally can "mix" coffe and tee.


  今天和明天都可以吗？


the same here.
but 


  *我去了超市和买了水果


-- not good. WHat are you "mixing"? "market" and "buying"? Noun and verb? 

about而且:


且 means 'further'. It was used as a future tense marker in old Chinese, just like 'will' is used in English.
而 is a subordinate conjunction. That is, it serves functions of 'but, and, where, who, when ect.' thus subordinating one sentence clause to the other. But how one should translate 而 is unknown (to me at least), it's quite volatile in it's meaning.
而且 means "further than this", 'but more' or 'even more'. 


So 而且(even more) and 和 (to mix) are quite different in their meaning.