Thanks for the feedback. You've brought up some good points for improvements. Some of these pain points can be alleviated though I think with just some short explanations.
1. If you want a repeating task to occur every Friday, for the first due date of the task choose a Friday. The reason it was forcing you to include Tuesday in the repeating pattern was the first due date you had chosen for the task was a Tuesday.
2. Yes, unfortunately you have to hit the "Refresh" button in Google Calendar or the current queue in GQueues to see recent changes immediately.
3. Calendar syncing does happen BOTH ways. When you create new items in your Google Apps calendar though, you must make sure the event is added to the "GQueues" calendar, not your default Apps calendar. All GQueues tasks and syncing happen between GQueues and the GQueues calendar that is created when you activate calendar integration.
4. Yes, I probably need to setup some wizards to help import from other tasks systems.
5. I haven't heard of this problem from other Apps users or my own apps account, but I'll investigate more.
I hope some of this helps. Best of luck in finding a product/system that works for you!