Your kid seems have been suffering from a viral diarrhoea.This causes fluid loss especially in children it causes dehydration/loss of electrolytes.Give her ORS(Oral rehydration solution) as long as she is having loose stools. Few children through fits following fever(febrile convulsions).However this subsides with age (not seen after 5 years).However other causes of fits have to be rule out. Nosebleeds are pretty common, especially in young children. This is because the blood vessels in the nasal lining are close to the surface and quite fragile. They can rupture easily.If a child picks their nose or blows it too vigorously, this can also start a nosebleed.Sometimes even a violent sneeze can damage the nasal blood vessels, and trigger a nose bleed.While nosebleeds are rarely dangerous, very occasionally, a nosebleed can indicate a more serious underlying problem like a head injury.Medical attention is required when there is confusion ,drowsiness ,nausea and vomiting or losing fluid through their nose that is thin and watery.Hope this helps.Take care.