Yes.
Yes.
no becasue they can't even go inside a residence without a warrant
Absolutely, if the police suspect criminal behaviour, they can get a search warrant and turn the place upside down and inside out!
Yes, if they have probable cause.
A search warrant is a form of court order. You are obligated to permit the search and cooperate with the law enforcement officers serving the warrant. If you resist them, you will probably be arrested. You can later go to court and challenge the affidavit that was filed with the court when the search warrant was obtained. If your challenge is successful, it's likely that any evidence seized in the search will be suppressed.
No, if law enforcement officers reasonably believe that a valid warrant has been issued, the officers may begin the search. The warrant does not have to be with them, and the warrant does not have to be given to the owner.
If it is a felony warrant yes they will arrest you
In order to obtain a search warrant there has to be enough "probable cause" that a crime has been comitted or that there is information or evidence involved. This warrant is issued by a judge.
A warrant gives the police the right to arrest you at any time - that's what a warrant is. So it does not matter if you do or don't turn yourself in, the police have the right to arrest you if they have a warrant.
the nearest police station
If you are asking why warrants are important then i would say a warrant is a document that allows police to go into your house without that warrant or permission from you they are not allowede. Therefore if they say they have a warrent to go into your house ask them for the document
Yes. If you have a warrant, it's in the police system, which can be accessed from any police station in the US. When they run a backround check on you, it will appear.