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I just experienced that if the internet connection dropped, the game would immediately kick me out of the map and back to the menu, and the dynasty would become inactive. It's unclear why it's working in the screenshots.
Regarding the quests, yes, there are glitches. Not long ago, I remembered that in the campaign for Nagas, I managed to kill the demon hero before the quest to kill him was activated in the storyline. As a result, the demon was dead, the quest was still active, but it couldn't be completed, so I had to replay it.
It seems that in one case, the developers didn't account for staying on the map for too long (I usually scored 1000 points on the last maps of the campaigns, and even then, it was difficult), and in the other case, they didn't account for completing it too quickly, probably because the beta testers were average players.