Hello to all

Im starting to change to 5th edition and one of the things i like about it was the new matrix rules. So yesterday i play a one player matrix run, inspired by the first example of the matrix section (pag 224) to see what test my understanding of the rules and to see any problems that could come up in play.
The run went like this.
Mister Bones (the player, who use the archetype of decker in the book) was hired to find out whats inside of a safety box in a Bank, as a bonus he could retrieve whats inside the box for a nice extra fee.
On the back ally of the bank there is a maglock on the back door wich is slaved to the bank host. Bones use direct connection to avoid the firewall and put a mark on the bank host to access it.
After that I came into a couple of questions:
1) In the example of the book it say the runner in a similar run could ignore firewall because he is in direct connection with the maglock but reading the rules about direct connect it only says the ignores any noise or grid modifiers.
2) If the player puts a mark on the slaved device, it also puts a mark on the master and if the master is a host, would that mean that all programs/devices on the host would get a mark too?
3) How would he find the safety box and its interior? Would he need to do a matrix search?
4) The player wanted to hack the safe of the bank and its ID scanner to recognize him as the owner of the safety box. Would the appropriate matrix action in that situation be Spoof Command? And would that change remain after he jack out?
5) I put a patrol IC on the bank host. How would the IC detect the decker? On the rules it says that having a mark on the host is to enter it is not illegal (the action of putting the mark, is but after the fact is not) so how would a Patrol IC detect a Decker?
6) Is there a way for the decker (a silent approach decker) to get rid of a IC without destroying it and thus alert the Spiders?
7) During the run he was discovered and a probe IC put 3 marks on the decker, would that increase his Overwatch score? Would the deckers attack and defense against the ICs also increase his Overwatch score? And if so, how much?
8 ) Why would anyone jack out? For what I understand jacking out is just plugging out the cable, while switch interface is the secure way to disconnect, however jacking out is a complex action while switching interface is a simple. Why would anyone jack out and eat dumpshock damage?
9) In the run I ran I said that the bank host had a clients area wich was a public place for anyone to enter and maybe talk in VR to employers and make a deposit or open and account etc etc. And a Door that had a sign that says “Authorize personal only” that was where they held the safety box data. In the run I put a virtual door that the decker had to spoof command. However is wasn’t a device per say. It was a virtual door, How would that be handle? A host inside a host?
Any help with this questions would be appreciatte