The main issue, and one that can be decided very quickly, is the mandate issue.
The whole law depends on it. If the mandate is unconstitutional, the rest of it has no basis.
There is a second mandate to be taken into account - The mandate that religious organizations be required to fund practices that violate the basic principles of the organization.
The Obama organization, which is always too cute by half, may have inadvertently, swayed a key swing vote on the court by initiating, for political purposes the birth control debate.