Hello :) This is Jiwon.

for the three sentences,

For the first question, could you give me more information such as whole sentences with both situations? I''m a little confused with the "-으라고 해요".

얼굴 봐서 난 행복해요.

어제 학교를 준비해서 오늘 일찍 가요: if you want to say, "I packed my stuffs for school yesterday, so I leave home early toward school." Then => 어제 학교갈 준비를 해놔서 오늘 일찍 출발해요.

할머니 그리워서 내일 방문할 것 => 할머니가 그리워서 내일 찾아뵐 거에요./ 할머니가 그리워서 내일 방문할 거에요.

너랑 같이 놀아서 피곤해요 => 당신이랑 같이 놀아서 피곤해요./ 너랑 같이 놀아서 피곤해.

케이크를 만들어서 우리 같이 먹었어요

난 너무 피곤해서 이제 잘 거예요

일찍 일어나서 아침에 운동했어요

Hello, Singh. This is Jiwon from Korea. Me either, I love English language, indeed love learning any foreign languages too such as French and Norwegian. Nowadays I am reading some books written in English; 1984 and Justice. It would be great to discuss what we have been reading. If you are interested then put a comment on here :) With your comment, let me text/ talk on Skype. Have a nice day!