The current translation of the calendar from English to Arabic is using the Syriac Calendar months names which it is not used in General and not all Arabs can under stand it especially my customers so would you please to translate the accommodation calendar to Gregorian calendar which is used by all arabs and every one can understand it
Basically, the calendar is pulled out for different languages from corresponding locale file under /wp-content/plugins/motopress-hotel-booking/vendors/kbwood/datepick/ directory. You may find the file, which corresponds to your Arabic locale and edit it, so months are named per your desire.