#1 Paul encouraged celibacy in his letters. He himself was celibate
#2 no, the Catholic church had celibate monks right from the 2nd century. People felt these celibate monks were better than their married priests and clamoured for priests to be celibate from the 8th century, hence the rise of the Norbertines, the Premonstratians. Only in the 13th century with the expansion of the Franciscan mendicant friars was celibacy made a discipline.
At no point was it to gain inherited estates. If you inherited a property while a priest it skipped you and went to the next in line
We can agree on your #1 point. But not on the rest. Peace be unto you.