In historical lodges, the Marshall carries a rod instead of a Baton. But as the Marshall is a representation of the Military order of the lodge, and the rods in the military of Batons, the same principle was adopted for the rod of the Marshall to…
The By-Laws of a Lodge state the meeting times and days for it's stated (monthly) communications (meetings) and how misconduct will be treated and other "governing" rules.
The Charter of a lodge is that lodge's document saying that a able to meet. It is given out but the Grand Lodge and will have the signatures of the leadership of the Grand Lodge during the year it was issued.