① enter to a college → enter a college 大学に入る
② She have already moved → She(3人称単数) has already moved
③ buy furnitures → (some) furniture(単数)<someはなくてもよい> ※furniture(家具)は数えられない名詞なので複数形はない
④ looking forward to enjoy → looking forward to enjoying ※look forward to ~ing(動名詞) ~することを楽しみに待つ
⑤ expects making → expect to ※expect to ~ ~することを期待する
以上です。