Yes, she can play basketball. She can carry the inhaler and use it if necessary if she feels short of breath.
Usually diarrhea in children is caused by viruses, where antibiotics usually don’t work. Kids get diarrhea often when traveling because the food is different. So usually we recommend gas x for pain and a light or bland diet.
The sleep patterns of babies are different from adults, as they sleep more frequently but less number of hours. There is generally no set number of hours that they need.
No you don’t need to give him iron supplements unless he has anemia, which is a low hemoglobin, which can be tested by blood work. If you are concerned about height, he can be evaluated by an endocrinologist.
Unfortunately, there is no medication to prevent chicken pox. Hopefully, your younger child won’t get it, as he got the vaccine. Usually, the vaccine works better on younger children.