I like to help people, am a problem solver, good at maths and science and have some really good observation skills. What careers/university courses would you suggest I look into?
Given the information you shared in your question, it would appear you've already considered medicine, whether public practice or research, and education. These would be the obvious responses for a problem solver who is good at math and science.
Here's a field you may not have thought about. Consider studying statistics. Statisticians, especially bio-statisticians, use their math skills to point researchers in the right direction and to stop them from wasting time on projects that won't work. The keep ineffecive drugs off the market. Statisticians working for governmental agencies help identify problems and evaluate potential solutions.
And, statisticians are very well paid.