英语纠错-请问这句话有错误吗？

I came back to China already two months, and during this period I have to deal with lots of teaching and administration work.

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建议修改如晌渗下：
I came back to China already two months ago, and during this period I have had to deal with lots of teaching and administration work.

前半截加了ago，后御谨祥面半截镇搏的时态改为现在完成时

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