Each of these subjects is heavily mathematics based. Science and math correlate directly, because science uses equations to generate facts and true statements, which are then analyzed. A strong math background is very important to all fields, especially science.
Yes.
Mathematics and physics are both required for computer science and computer engineering degrees; chemistry might not be, depending upon your individual school.
Accounting, Engineering(except computer engineering, software engineering and electrical engineering), Physics, Chemistry, etc
There is no need to expertise in Physics for a computer engineering student.
nothing and everything
Not necessarily.
Apparently, you haven't had much exposure to Physics, Chemistry, or Engineering, have you. Yes, they all do. In increasing order of mathematical intensity, they are Chemistry Engineering Physics
yes
For Physics and Engineering yes, but not so much for Chemistry.
computer science engineering
That depends on the individual
you wont always fail