I don't know about 7 days of circling the alter on sukkot. But on the last day of sukkot the alter is circled 7 times that is meant to resemble the 7  circles around the walls of Jericho. And some say that the 7 circles on a wedding is to break the wall between the bride and the groom. So that may be the link between all three. All link back to breaking the walls of "Jericho".