The test result is positive but the patient's temperature is not over 38⁰C (100.40⁰F). What does this mean?

If the test result is positive then strep-A was detected. However, if the patient's temperature is not over 38⁰C (100.40⁰F), then maybe sore throat is not caused by strep-A. Sometimes strep-A exists in the natural flora of the throat without causing any infections.
A strep-A infection always results in high fever.

How long does treatment last for strep cure?

10 to 14 days, depending on the antibiotics prescribed.

For how long should the patient keep a safe distance from others?

The patient must complete at least 24 hours of antibiotic treatment before coming in contact with others.

When can my child return to school?

Usually after a full day of treatment and absence of fever.

If a child's family is found positive for streptococcus A, this means that other family members will fall ill?

The other members of the family, including adults, can be infected by the virus. It's good, especially when there are some symptoms, to test the rest of the family members.

Are there other types of Streptococcus causing sore throat?

There is streptococcus C and G, which are normally found in animals, that can cause pharyngitis in humans. However, these bacteria are not as dangerous as streptococcus A, concerning the complications. If the patient has received antibiotics for Streptococcus A, this will cover other types of streptococcus as well.