Glad you like it! It is quite possible there are still some typos in the script for the game. The best way is to post about half a sentence worth of dialog so I can search for the project. I did check on the Zaheen reading line, and that one seemed okay: 
But I know a couple of characters ask similar questions so I might not have t he right dialog there.
I think Jade's lunch invitation was probably her third star event. It is possible to have multiple events scheduled overlapping. When this happens, the game has an internal priority list for which ones it will pick. And you might get the prenotification again when you go inside. The administration building can be pretty busy, especially with everything going on early game. Basically you just need to leave the building and re-enter in order to get the next scheduled event. Anyway, it won't ever repeat a cutscene or an event, but it is possible to get a dialog more than once if it's an event notification like an invitation to lunch or something like that- those will keep happening until the event they are talking about happens.
So it sounds like you hit something kinda weird, but I'm not 100% sure if it was a bug or not. If you find yourself stuck and can't advance Jade past a dialog like a lunch notification, definitely send your save to support @ verdantskies.com and I will take a look at getting that fixed. I think you are probably fine though!
Thanks!
-Andy