Yes, we have drugs which reduce the effectiveness of the immune system, preventing this from happening. Of course you don't want to weaken the immune system too much, it's a difficult balance to strike I'm sure.
This is false. Clinical management of the syndrome is purely supportive. There is ongoing work toward a variety of possible treatments - cytokine release syndrome can also result from a garden-variety flu, and as a side effect of some other therapies - but there's nothing outside an early experimental stage thus far.
