No. Although food poisoning can be miserable in general it will not hurt the fetus. Most cases can be managed at home and resolve in 24-48 hours. The key is to avoid dehydration. If you develop fever, have bloody diarrhea, have contractions or can not stay hydrated then yes you should be seen in the hospital.
Yes. Absolutely - better safe than sorry! what may seem normal could develop into something worse. Be proactive and stay on top of potential risks.