Birth in 1564 in Nottinghamshire. Is there a parish register baptism entry? Is there a will of William Hazard naming his son Thomas Hazard and perhaps grandson Thomas of Rhode Island?
Death in 1589 in Rhode Island? Probably not!!
Marriage to Margaret Palmer? Where and when?
Father of Thomas Hazard (born 1610 in England). Not unless he didn't die in 1589 in Rhode Island.
I think the death place, at least, should be changed to England, or if there is a burial record in parish registers, change it to that place.
I also think the son, Thomas Hazard, should be disconnected from this couple if the death date is retained as 1589.