That is correct, and hunting seasons apply to private property as well. Archery season is in September, and muzzleloaders get about a week in between the archery and rifle season. Some units have later seasons but 418 does not.
You can apply for the multi-season deer tag and if you draw that, then you can hunt that unit during the three seasons (archery, muzzleloader and modern). Without the multi-season deer tag, you have to pick one weapon.
There is a quality deer hunt (special permit raffle) for 418 where they give out 25 permits (looks like 160+ people apply for that). If you apply and draw that, then you get to hunt that unit November 1-12 too.