If that is where the probationer resides and/or spends the great majority of his time, yes. However, the probationer must be on the premises when they make their entry.
If it is the probation officer's warrant then yes, but they probably will not. If it is the judge's warrant the probation officer cannot.
No. It is your probation officer's responsibilty to have you taken into custody on the warrant when you report. If your officer told you you have a warrant, then you may not report.
If the PO is not a sworn law enforcement officer themselves; report it to the police, or the court which supervises the probation, or swear out a warrant for the probationers arrest. If the PO is a sworn law enforcement officer, they have the option of either arresting the probationer or reporting the threats to the court - at their option.
Possibly. Your probation officer has all the power. If they feel you are a danger to the community they CAN violate your probation and if you fail to come in voluntarly, a warrant will be issued.
In many states, probation officers are sworn law enforcement officers so, yes, they can arrest you on a properly issued warrant.
Bottom line: yes. This above answer is totally wrong. If you live in a residence that you do not own (i.e your parents) then they are protected under their constitutional right to not be unreasonably searched. Precedent has said that the probation officer has only the right to search the probationers belongings (i.e room, vehicle, sometimes bathroom). Due to the fact that the owners are not under the authority granted to the probation officer under terms of the probation, this would be an illegal search - if your parents told him that he may not search any area of the house other than your belongings.
Yes Yes
A police officer can request that anyone show him or her their phone. In the absense of a warrant, they generally are not obligated to comply with this request, but if they do, he or she may certainly look at it.
Nothing - Unless you are operating in violation of DMV restrictions (suspended or revoked) or are actively wanted on an open warrant) your probation status will be unknown to the officer.
Most likely since someone skipped.
Administrative probation is sometimes referred to as "Court supervised" probation. Administrative Probation means you will not have to report monthly in person to a probation officer. However, you are still on probation. You still must complete all required terms and conditions of your probation or you face a warrant for your arrest for Violation of Probation.
A probation warrant is issued when a person violates the terms of their probation. The warrant is issued by the court and the person must appear to explain their actions to the judge.