M.G.
Sounds like she's picked up one thing after another.
When mine were little and in daycare they picked up whatever was going around. It seems crazy at the time - we were back and forth to the doctor's office constantly.
Fevers, coughs, etc. is all pretty normal. Why did they do the blood work? If she had white blood cell count that was high, it would suggest that she had an infection of some sort. What did they say or do to treat that?
Wheezing - pretty common with coughs and colds. But it could be something more. Mine went on puffers just for when they wheezed. Usually only during coughs or colds. They called them "asthmatic" but not true asthma. We know a lot of kids like this. And they outgrow it typically - mine did.
Throwing and up diarrhea sounds like whole new bug. Usually you just let those run their course - keep her hydrated.
When they are little and you go in that much, it does feel like you are treating one thing after another, and you wonder - ok is something more going on? Trust your gut. One of mine had to have adenoids out, ear tubes, and had allergies in the end - also explained his chronic eczema. To me, it doesn't sound like your daughter has an underlying condition (that all sounds pretty normal) but keep a list yourself. Parents have to be their children's advocate.
Good luck :)