You HAVE to be good at mathematics to be good at chemistry, physics and engineering. It's not a handicap, it's a necessity.
For Physics and Engineering yes, but not so much for Chemistry.
Yes.
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
No, it is not true. It is false. In order to PASS physics, chemistry, and engineering, you must be pretty good at mathematics.
No.
mainly physics, chemistry and mathematics will get you in any engineering field
Mathematics and physics are both required for computer science and computer engineering degrees; chemistry might not be, depending upon your individual school.
Yes it is a possibility. There is no competition for a Pullitzer in Physics, Chemistry, or Engineering.
Because the majority of economics, physics and engineering and general chemistry requires you to be able to calculate, not just learning concepts.
Yes, quite a lot.
Not to put too fine a point on it, but yes.