If constipaton is a chronic problem, should prob talk to your doctor about a regular stool softener daily for a period of time to prevent this from coming back. The colon gets stretched to accommodate repeatedly large stool volumes and thereby can perpetuate constipation if daily bowel movements are not maintained for a period of 3-6 months after a prolonged period of recurrent constipation.
It is EQUAL PARTS Hydrocortisone ointment 1%, Clotrimazole cream 1% and Bacitracin (NOT NEOSPORIN!), all available over the counter.
Use it 2-4 times daily (with MOST diaper changes). Any cause of rash would be treated with this combination.
No more than 7 days of use without improvement before you seek counsel from your provider.
If it is working, limit use to 14 days at a time, again seeking counsel of your provider if the rash returns or is not fully resolved thereafter.
If you have addressed all these and your daughter is still not sleeping appropriately then she needs to see a sleep specialist to look for more rare causes of sleep issues. Lack of sleep does have a modest affect on growth in the long term.
So the answer to your question is no, "medicine" is not always necessary to "treat" strep infection, but I would consider the prevention of the other conditions in your decision on whether to treat your child with antibiotics.
Most often I tell people that if the fever is not preventing the patient (adult or child) from functioning - eating, drinking, sleeping - and is not causing significant distress - in the case of children this would manifest by being cranky, inconsolable - then do no suppress the temperature until it reaches closer to 103.5F.
An exception to this would be in a child with KNOWN febrile seizures, generally treating the seizure if important until they outgrow this condition which is something you should discuss with your personal physician as far as at what age you can stop avid fever suppression.
Honey has been shown to be MORE EFFECTIVE that cough syrup in children, especially at night. This is great news for you. Recommend to take it straight off the spoon and not mixed with any liquid. Some adults like some lemon juice on top to cut the sweetness but this is not a problem for most kids.
If your kid is old enough and doesn't like the taste of the honey or the feel of it in their mouth, I recommend swishing with water and spitting it out. Also, prevent drinking fluids right after administration to allow the honey to coat the throat and treat the cough.
To note no cough medicine will prevent all coughing, the goal is reduced coughing and more sleep. My patients have noted good success with this treatment.