YOU SAID:

So this weirdo was staring at me through the window but then I jumped through the window after him

INTO JAPANESE

この変人は窓越しに私を見つめていましたが、私は彼の後を追って窓から飛び降りました

BACK INTO ENGLISH

This weirdo was staring at me through the window, and I jumped out the window after him.

INTO JAPANESE

この変人が窓から私を見つめていたので、私は彼の後を追って窓から飛び出しました。

BACK INTO ENGLISH

This weirdo was staring at me through the window, so I jumped out the window after him.

INTO JAPANESE

この変人が窓越しに私を見つめていたので、私は彼の後を追って窓から飛び降りました。

BACK INTO ENGLISH

This weirdo was staring at me through the window, so I jumped out the window after him.