Yes, if they have probable cause.
The answer is no. just like the police can not search a locked briefcase or anything else without probable cause or a warrant. they can however call the cops and the cops "could" get a warrant, very unlikely.
nope, NOT LEGALLY.
Yes, the police do need a warrant to search your locked roof mounted cargo box.
Yes, unless there are exigent circumstances.
NO. The warrant is issued for specific items to be siezed and specific locations to be searched. There has to be SPECIFIC listings as to what is sought and what areas are to be searched. That is in the U.S. Constitution as part of the 4th amendment, it does not vary. For example, if the officers are searching for a stolen television set, they cannot legally search inside your jewelry box. However, if authorities find illegal items that do not relate to the case in question those items can be siezed if they are illegal and were found legally during the search. Locked or unlocked does not matter, if it is on the warrant to search for the items, it can be done. However, if a person lives in an apartment where he/she gives consent to search, he/she cannot give consent to search rooms they do not live in.
yes, but only after they arrest you
Yes, the police can search your trunk if it's locked under certain circumstances, such as with a warrant or probable cause.
You can be locked out of your own unit the same day that you are late for payment.
Depends on what the warrant is for, but generally you will be detained until you stand trial or get released on bond. You will also be charged with a DUI.
With a nice hard brick through the wndow.
Yes unless it's a car and the glovebox/trunk is locked. Premises includes all rooms
Only if you have been "dimed" out for having contraband--drugs or stolen items--in your room and a search warrant is being executed.