No
It's absurd to draw such a general correlation.
Well, it helps to have good writing skills in these sciences since you need to report your work. You have time to develop that. Not necessarily essays - I hated those and I am an engineer - but technical documentation in writing is very important
no
Yes and no, yes because every field will ask you to write essays but no because it's more important to be good with math
Sounds backwards to me.
Not necessarily. They may be difficult for you if you're the sort of person that thinks this question makes sense, though.
Not normally, that describes most (of us) engineers,
Yes, that is possible. The sciences of physics, chemistry, and engineering do not depend upon the ability to write essays.
You'll need both math skills and writing skills. You should definitely practice writing essays. Not only will this help you in the short term, but you'll need writing skills later on for many different jobs.
No, you have to be good at physics and engineering to be good at it. Engineering would require you to write reports, but to write a 2500 word report? It's about quality, not quantity. If you can write a good essay, then you should have no problem writing up reports for when you do engineering work - assuming you know what you're doing. If you're hopeless at writing essays, physics and engineering, then you're going to be bad at it.
No; it is false.
It always depend on the person if he will pass a subject or not.