[BroJoeK]

rusty: "Perhaps your source does not count the provisional Confederate government and only counts Davis taking office in 1862 after the November 1861 election."

That seems correct.
Here is the Almanac's description of it:

• February 22, 1862: "President Jefferson Davis is inaugurated as the first elected chief executive of the Confederate States of America...
  From this point on, Southerners view their constitution and administration as permanent, not provisional.

• February 27, 1862: "Like his northern counterpart, President Jefferson Davis finds it necessary to suspend writs of habeas corpus as a wartime expedient.
  He then declares martial law in Norfolk and Portsmouth, Virginia, then threatened by Union forces."

• and from your link, February 27, 1862: "Davis was given permission by the Confederate Congress to suspend habeas corpus if he felt it was necessary to do so.
  Davis asked for martial law to be introduced at Norfolk and Portsmouth – both important naval bases in Virginia. "

The key point here seems to be that while Davis received Confederate congressional authority to suspend habeas corpus in February 1862, Lincoln did not receive similar authority until March 1863.

However, the Confederate government's actions in suppressing pro-Unionist civilians in, for example, East Tennessee, did not wait for formal Confederate Congressional authorizations to revoke habeas corpus, etc.

[rustbucket]

From your post 149: However, the Confederate government's actions in suppressing pro-Unionist civilians in, for example, East Tennessee, did not wait for formal Confederate Congressional authorizations to revoke habeas corpus, etc.

From your post 123: In some areas of the Confederacy, like eastern Tennessee, martial law led to the summary executions of a few civilians and the mass incarceration of others.

A few months after Tennessee's secession, Unionists in East Tennessee started burning railroad bridges to cripple the Confederate war effort. Confederates acted to stop this activity and at least five bridge burners were hung after "trials."

This is similar to Union General Halleck's 1861 order to hang bridge burners caught in the act in Missouri. Link

Many East Tennessee Unionists rose up against the Confederates. Perhaps the following link to a Confederate communication gives an indication of what the Confederates were facing and suggests why the Confederates held captured Unionists as prisoners: Link.