Hey there, no save at the moment. You have to ask the NPC ships with the exclamation mark over their targetboxes/fleet icons for quests. More information in this article.
Best to keep an eye on the update articles as they'll tell you about new features as they are introduced.
Probably best to bookmark this page (the roadmap) as it'll summarise everything and you can link to the relevant articles from there.
Welcome back Commander.