Also it was his (Prophet's) job to explain wherever
doubts arose.
Peace all
I will jump to in answering your main question (Should we follow Hadith in order to be on the Straight Path?).
Answer
To be on The Straight Path, according to God, ones have to follow the Book Guidance.
Now, I have a Question for you if to be on the Straight Path is to follow Hadith Guidance, which book of hadith is the true book? is it, for example, the Shia or the Suni Book?
Peace