13 weeks pregnant nauseous, runny stools no energy is this normal?

Some of it. Nausea very common, but diarrhea not typically part of pregnancy. Hydrate yourself and you can try some immondium or kaopectate (kaolin and pectin) for the diarrhea. You can try emetrol over the counter, but if nausea a real issue call your OB provider. There are a few safe meds that can be called in. Sounds like you have a GI issue currently and most resolve with time.