Supported, because we’re told that T-mites can keep C-mites from reaching “significantly damaging levels.” There can still be C-mites present, but there are not enough of them to be significantly damaging.

Not supported, because we have no reason to think the predatory mite needs to lay eggs just like the C-mites lay eggs. What matters is the synchronicity of the reproduction. We want the predator mite population to go up when the C-mite population goes up. But whether the predators use eggs doesn’t matter.

The author never mentions T-mites’ effectiveness against other kinds of pests besides C-mites.

Not necessary, we’re told C-mites aren’t a threat in the first year.

Not supported, because we don’t know whether strawberry growers use parathion outside of the experiments and observations described in the passage. We’re never told that parathion is typically used on strawberry plants. And even if they do, we don’t know that they use parathion “indiscriminately.” Maybe they do try to be careful about where parathion is sprayed, but sometimes accidentally spray where they don’t want to.