You can't really counter that team without having a higher initiative. The point of that team is to have water main be in po1 to drain charka and apply chaos. If the opponent knows what they are doing, they can anticipate the ninja you decide to use a mystery if you activate it before your charka is drained.

You could stop han or 5KM from launching their mystery if they are in po2 and your ninja is at po1 but you need to do it during they activate it since the healers can heal if you decide to immobile/chaos/acupuncture him early. Having kurenai on your team or you running as fire main can help deflect the chaos. Also, this is the wrong section to be talking about strategy, as there is a dedicated section away from general discussion.

About the chaos carrying to the next round, it really depends on how high the opponents' control stat is. The higher it is compared to yours, the debuff won't carry. I tried it out with weaker and stronger players than me to see the difference.