I neglected to state the obvious. You are likely doing this for your own enjoyment. You can work to achieve whatever level of historical accuracy you want. Which events you can attend are, to an extent, determined by your level of authenticity. Most events are pretty much wide open. The most authentic are juried events where you may be required to submit a personal profile and photos to gain admittance. Getting there takes time and commitment. Do what makes you happy.
Here are some websites and online organizations, in no particular order, you might find helpful:
http://historicaltrekking.com/forums/index.php?sid=83545183cb07a16cb8439b5997b8642e
http://www.re-enactmentevents.com/re-enact/Proposal.php
http://www.furtrade.org/
http://firstpeoplesofcanada.com/
http://www.reenactor.net/
http://www.coloniallivinghistory.org/
http://elnuabenakitribe.org/17LivingHistory.html
Some of these will probably be of no interest to you, but one can frequently find other sites by going to the “links” page.
A good historical read to give you the flavor of the era would be “Company of Adventurers” by Peter C. Newman. It deals with the Hudson’s Bay Company in the 18th century, so is a little out of your chosen time period.
Some good books on costuming are:
Historic Dress in America by Elisabeth McClellan
It covers dress between1607 to 1870 in great detail. We consider this to be the single best reference book for costuming.
The Cut of Men’s Clothes 1600 – 1900 by Norah Waugh
What People Wore by Douglas Gorsline
Tidings From The 18th Century by Beth Gilgun. Chock full of useful information on costuming and 18th century life.
The New England Indians by C. Keith Wilbur. Mostly Native American lifestyle and possessions. It wouldn’t be particularly high on my list.
There are a number of books that may be of interest in the Man-at-Arms series by Osprey publishing:
One is American Woodland Indians by Michael Johnson and Richard Hook.
Another is Tribes of the Iroquois Confederacy by Michael Johnson
An appropriate firearm is probably high on your want list. A percussion (caplock) would definitely not be appropriate for the time period. The percussion system came into being in about 1812. A flintlock or matchlock smoothbore would be your best bet for the 1600s. I am not certain they will be early enough for you, but a French Fusil de Chase or an English Northwest Trade Gun would likely be appropriate. I love my Centermark fusil.
You might want to portray a French colonist, a Metis or a Native American. Personas could include a Coureur de Bois, Voyageur, Engagee or a Clerk. They frequently mimicked Native dress.
Overwhelmed yet? Take your time and enjoy the ride.