I also found the time-jumping confusing - I've seen it done more helpfully in other stories, where the (hopefully only two) time-zones are clearly demarcated through the use of a different color palette or art style.
I would assume that the "n days after hack" boxes are referring to the Sov hack of the video footage.
Time zones in the very first episode:
- The Sov's hack the video footage of the Mechanismo's gunning down their own side.
- 22 days after hack, Dredd is called to the mission.
- 12 days after hack, Brit-Cit appear to have been informed of what the Sovs have found.
- 23 days after hack, Dredd is en route to Atlantis.
- 20 days after hack, Brit-Cit annex Atlantis
Throwing us backwards and forwards like this is terribly confusing without some sort of graphical clue - unless we take notes while reading, as I've done just now. Now I understand the episode a little better.
2nd Episode adds a fourth (depends how you're counting them) time stream immediately, then forwards the two main streams (Brit-Cit and Atlantis):
- Three months prior to hack (Atlantis hearing)
- 23 days after hack, Dredd's team arrive at Atlantis.
- 16 days after hack, Brit-Cit CJ views the footage.
- 23 days after hack, Dredd's team arrive at Atlantis.
3rd episode introduces a new narrative caper, as we get text from the Brit-Cit time stream overlapping the Atlantis time stream.
- 23 days after hack, Dredd's team arrive at Atlantis.
- 16 days after hack, MC-1 and BC CJs arguing.
- 19 days after hack, Brit-Cit cloak and daggers about meeting the Sovs.
- 21 days after hack, Brit-Cit annexes Atlantis (contradicting the first episode, where it happened the day before).
- 19 days after hack, someone has shot the dog. I don't actually understand who.
4th episode:
- 20 days after hack, the Sovs suggest the assault on Atlantis (agreeing with the previous episode but not the first episode).
- 23 days after hack, Dredd's team battle for control at Atlantis.
- 20 days after hack, Domino Blank-One kidnaps dead-dog-man, Bernard, of Brit-Cit.
5th episode:
- 23 days after hack, Dredd's team battle for control at Atlantis.
- 21 days after hack, while Brit-Cit is annexing Atlantis, Domino is trying to take down Modric.
- 23 days after hack, Dredd's team battle for control at Atlantis.
6th episode:
- 24 days after hack: the CJs summit in Greenland.
- 21 days after hack, Domino is trying to take down Modric, but he kills himself.
- 24 days after hack: Dredd's team leave Atlantis.
- 30 days after hack: denouement.
Seems like a lot of effort to go to in understanding a comic, but there you go. A bit convoluted.
Domino calls Modric a Sov, but it wasn't clear to me whether we were supposed to know that all along, or whether he was a double-agent of Brit-Cit intelligence.