The Germans - and perhaps even more so, the Swiss - generally work with high-quality materials set within modest limitations - meaning that, because they work with only the necessary amount of materials (of high-quality), they manufacture products that are less likely to go wrong and therefore more likely to function at the standard by which the world has come to know as 'German engineering'.
Yes. German engineers have a very good reputation.
Engineering is a very good career. There are many specialised forms: electrical engineering; structural engineering, and so on.
On the contrary, you will need a lot of math to be good at science and engineering, so if you are good at math you have a good start, at least.
You smell so good = Du riechst so gut
yes
Nicht so gut
It is invalid because the conclusion does not follow logically from the premise.
Siemens
It feels so good translates as Das fühlt sich so gut an.
Of course not. Certainly, you won't be bad at physics or engineering BECAUSE OF your math skills. You NEED math for physics, and both math and physics for engineering, so somebody who is not good at math is more likely to have trouble with physics or engineering.
Subaru is a Japanese company that strives for German quality engineering.
No, that is not true. But it helps to do good in writing so you can explain and document the facts and results of physics and engineering. I hated to write essays in school, but now I enjoy writing technical memos in engineering, so do your best