1. Wolf is spot on.
2. One of me rebbeim who learned in Lakewood many years ago asked Rav Aharon Kotler zt”l if he could wear his jacket on his shoulders on shabbos (there was no eruv). Rav Aharon said they used to wear their jackets like that in Slobodka and neither the Alter or Rav Moshe Mordechai indicated that there was any problem (i.e. it was fine – from both a musar and shabbos point of view)