Can the US Supreme Court initiate a suit?

Answer 1

No. The Supreme Court, like all courts, is immune from lawsuits. If they weren't, people would be suing constantly (someone is always unhappy with the outcome of a case), which would interfere with the justices' ability to make an impartial decision. There are enough obstacles standing in the way of impartiality already.

Answer 2

No. US Supreme Court decisions are final and can only be overturned by the Court itself (unlikely) or by constitutional amendment (highly unlikely). Further, the Court and justices have immunity from being sued for their decisions.

Answer 3

If you're asking whether you can sue a Supreme Court justice because of a decision he or she made, the answer is no, all judges and justices have qualified immunity from civil action arising from official business.

If you're asking whether you can sue a Supreme Court justice for something that occurred outside the realm of his or her job, then yes, supreme court justices can be sued just like any other person under US jurisdiction. The immunity doesn't extend to actions taken in their personal lives.

Answer 4

No, it cannot. It hears appeals from lower courts and makes the final determination on that case. There are no appeals beyond the Supreme Court.