習い事で自分の息子が「きちんとやってますか?」と聞く場合は、
"Is he doing fine?" / "Is he doing his best?" / "Is he doing what he's supposed to be doing?"
などの表現を使うことが出来ます。
「今日、息子はしっかりとやりましたか?」は、
"Was my son doing fine today?" / "Was my son doing his best today?" / "Was my son doing what he's supposed to be doing?"
ご参考になれば幸いです。