So, judging by the available information - as far as lyrics goes;
Untethered Angel, Barstool Warrior and Pale Blue Dot is written by JP, Room 137 is written by Mangini, At Wit's End and Out of Reach written by LaBrie.
That leaves Paralyzed, Fall Into The Light and at least two songs we don't know the title for yet - and I believe they said JM wrote lyrics for two.