A couple of things to note. I think by best estimate fo Rykert would have him born abt.1675 or 76. He was adult in the census of Albany county with his own household in 1697.(near Coxsackie). He married in 11/1699. He would have been 21 to be on his own by practice at the time.
The line is generally fine until Hendrick son of Richard, grandson of Rykert Jans. I think the line from there should be under his brother Peter R. who married Elizabeth Van Loan.