four mazhabs

Following a mazhab

Q:

1. Is it necessary to follow anyone amongst 4 imams? Is there any ahadith? What was their ijthihad towards giving opinions on ahadith? Did four imams mention that "in case what they were doing is later found to be not correct then we should ignore them".

2. Why some Muslims believe that only two shahih hadiths are only hadith and rest hadith like Abu Dawood, ibn Maja, an nasai and tirmidhi are not correct hadith

3. Should every Muslim believe in all ahadith?