Yes, take Acela express from either 34th Street penn station or Newark Penn station. Alternatively, you can take Bolt Bus from 6th avenue
Yes, buses go from Port Authority to a wide range of destinations. Greyhound, CoachUSA, PeterPan, Trailways, to name some, are bus companies operating from Port Authority to various destinations. You may want to call them up or look up online for days and timings for specific destinations.
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