YOU SAID:
Lateness have had he to go get to he then
INTO JAPANESE
遅刻は、彼が彼に着くように行かなければならなかった
BACK INTO ENGLISH
Late was he had to go to get to him
INTO JAPANESE
遅くまで彼は彼に着くために行かなければならなかった
BACK INTO ENGLISH
Until late he had to go to get to him
INTO JAPANESE
遅くまで彼は彼に着くために行かなければなりませんでした
BACK INTO ENGLISH
Until late he had to go to get to him
That didn't even make that much sense in English.