My betta is slowly but surely getting better: his tail is no longer red and it is already growing back in some places (you can see in the pictures that there are no ragged, shredded bits). He is also eagerly eating his pellets and showing off whenever he can:
Here he is asserting his masculinity to a marble:
Here's a closer look at his tail:
The sunburst platys in my 5 gallon tank also seem to be doing very well: they swim around and chase each other all day and they eat and poop like there's no tomorrow. They are really quite delightful fish:
The tank water also looks a lot clearer (I did do a partial water change yesterday), so it may be done or close to done cycling (I'll have to test the water to know for sure).