The first word should be 뒤로하다.
- 뒤로 하다 = do something through the back. (not used much)
- 뒤로하다 = continue/proceed, leaving something behind. "고향을 뒤로하고 유학길에 올랐다" = Left home and went on the journey abroad for their studies.
끌리는 대로 = (lit) as I am pulled/attracted => as my mind/desire takes me.
- 끌다 = pull/attract; 끌리다 = be pulled/attracted.
- -ㄴ 대로 = going with what happens; going where (something) takes one, without resistance.
So 뒤로한 채로 끌리는 대로 끌리는 대로 = leaving (it) behind, and wherever my mind/desire takes me, wherever it is.