YOU SAID:
I brought the towel to my car.
INTO JAPANESE
私の車にタオルを持って来た。
BACK INTO ENGLISH
Brought a towel on my car.
INTO JAPANESE
私の車のタオルを持って来た。
BACK INTO ENGLISH
Bring your towel on my car.
INTO JAPANESE
私の車にあなたのタオルを持参します。
BACK INTO ENGLISH
Bring your towel on my car.
That didn't even make that much sense in English.