like someone else said notes, notes, notes. Don't try to look impressive by asking smart ass question, just be wiring everything down. Especially if youre working with logistics and inventory.
If it wasnt you, get with the person your former boss worked closer to and rack their brain about your bosses schedule. When did he/she have suck and such done etc.
Stay o ur underlings ass. Nobody wants to be the a$$hole boss, but people will slack off if given the opportunity. Speak to them i a respectful way but make sure they know ur serious
oh yeah, that first in last to leave is real. get ready to put in boss hours.
Worse case scenario and shyt dont work out, you got managerial experience

shyt is gold when looking for another job.
Congrats, my brother. Wish you the best.