Unless blizz changes the way the damage done statistic work it won't work on puppets.

It should count pet damage.

In the damagereport folder there is a file called moon.lua, open it up with a text editor. On line 11 and 12 change _G[dmgrprtsv]:AddMessage to MikSBT.DisplayMessage

C=

Ah yes, uploaded a new version that hopefully fixed it(or I just caused more problems). I can't log on to test it myself so you have to tell me if it works ^^

you need the statistic id for healing done, I'm out of gametime so you have to check for yourself. I hooked GetStatistic to get the id for damage done, perhaps you could do the same for healing done. Try something like this:

local funky = GetStatistic
hooksecurefunc(GetStatistic, function(id)
print(id, funky(id))
end)

Then open up the statistics frame and make your healing done show.
Now search trough your chat for an id followed by a value that's the same as your healing done. Then change 197 in every GetStatistic(197) you find to the id you got earlier. If you find an easier way to do this please let me know.
And I updated it by the way, so now you can pretty easily change what frame you want it to report to.