Corcovado is an amazing place – it has the greatest density of wildlife that I’ve seen anywhere on earth. I went in early 2014, just before they made guides mandatory. Night hiking is officially not allowed, but tapirs are nocturnal, and active at night all around Sirena. The authorities seem to be willing to stretch the definition of “night” to allow guided groups to go out in darkness very early in the morning — so you should insist that your guide gets up as early as it’s allowable to go, and be the first group out.
I’m not convinced about rubber boots. You have a fair distance to hike to get in there, mostly along the beach, and they are not so comfortable for that. And basically everything gets wet and stays wet, including the inside of rubber boots. Bear in mind that you have to cross Rio Claro, that was knee-deep. I went with trail runners and thin socks that I knew were comfortable when wet.
Yes, you should take a hiking pole for stability in the mud and to have something to poke crocodiles with (I’m not kidding, there was a small one hanging around Rio Claro when I crossed).
And, as mentioned, there are many ticks around Sirena. The heat and humidity mean that covering up is unrealistic. I did frequent body checks, and removed several. I don’t recall any other insects being a problem (in January).