I don't see an obvious way to determine the date and time
In addition to Loong's answer, you can also use the timeline view. This has the advantage of always showing the full date and time; the tooltip uses the same relative timestamp (e.g. "yesterday", "n days ago") used in most other places on the site, but you can't hover over a hover text (the way you can to get the more precise time in other cases).
The information on acceptance lives on the timeline for the accepted answer; for example, on Who played Hedwig?, the tooltip only says that the answer was accepted "two days ago":
But the timeline of phantom42's answer shows the full date and time:
You can also get here from the question's timeline; the time each answer was posted is recorded there, and includes a link to the answer's timeline:
You'll notice that the (currently) accepted answer is marked by a green checkmark.
1 Note that I'm using another UserScript to add a "revisions" link to each post; you don't get that for free with the script I've linked to here