“”儿“” si usually ommited in writing. because it's  north  acent.

到处 is adverbial. The subject is omitted.but it can be 'country everywhere' or 'province everywhere' or 'city everywhere' or 'people everywhere' or sth else. what it is depends on the situation, but the subject in this sentense is not important,because the sentense's or the speaker's point is emphasizing the activity is wide.

耶稣爱你