However/but

Hi, teachers:

I came across a text-test regarding but vs. however and I do not understand the clear difference between them.

My sister and I are very different, (1) we get on well together. She likes staying at home in the evening and watching television with parents. (2) I prefer going out with my friends. Her fiance's name is Ferdinand. (3), we all call him Feddy. People say I look like my sister because we both have brown eyes and dark hair. (4), we are very different in character. She's very quiet, (5) I'm a lot more sociable.

  (1)  a) and    b) but (answer key)   c) so      d) because

  (2)  a) Because   b) And     c) So     d) But (answer key)

  (3)   a) However   b)  But  (answer key) .......
 
  (4)   a) But    b) However (answer key) ........

  (5)   a) however   b) but     c) and  (answer key)    d) so


Above all, I want to ask a question concerning [i](3)[/i] and [i](4)[/i]: I left the two potential versions (I mean [i]but and however[/i]), the other versions are clearly wrong. In [i](3)[/i] "But" is the correct answer and why "however" is incorrect. Similarly, in [i](4)[/i] "However" is the correct one and why not "But"?

In i[/i] and i[/i] I agree with answer keys. ) However/But, can I use “however” in place of “but” in the two cases?

 In (5) apart from [b]and[/b] (answer key) can [b](a)[/b] and [b](b)[/b] also be used?

It is difficult to distinguish ‘but’ from ‘however’ in specific terms because they both in meaning point to a contrast. A broad distinction is that ‘however’ marks the contrast to a greater degree than ‘but’. ‘However’ hints at the writer/speaker saying : Let’s not forget the other point of view.