I'm not sure if this has been suggested before (I haven't seen anything up to posting this), but I feel we could use some additional info on the dice roll interface. For example, perhaps two dice on-screen when rolling with advantage or disadvantage? Also, some indicator of our modifiers added along with the dice roll (it took me a while to realize the modifiers actually change the target number, which was confusing for a time).
Yes
Additionally, I feel we could use an option to cancel the roll before we actually roll said dice. There have been a number of times I wanted to make a skill roll in conversation only to see the target number was WAY higher than I expected and wanted to back out and try something else, but once you select that option before the roll, you're stuck with it. It's not a major issue, but I feel it'd be a worthwhile addition.
No
You shouldn't magically know if a person is adamant or easily persuaded from his/her position. I could see the DC being shown
maybe if you make an insight roll, but in general this should be hidden.