Vincent is the patron saint of:
against leprosy
Brothers of Charity
charitable societies
charitable workers
charities
horses
hospital workers
hospitals
lepers
lost articles
Madagascar
prisoners
Richmond, Virginia, diocese of
spiritual help
Saint Vincent de Paul Societies
Sisters of Charity
Vincentian Service Corps
volunteers
There is no Saint Paul of Nagasaki. There is, however, a church in Nagasaki called St. Paul.
I know of no patron saint of the gentiles. However, St. Paul is called the Apostle of the Gentiles.
He is the Patron Saint of World Youth Day.
St. Paul was himself a missionary who traveled extensively spreading the Gospel.
Gabriel the Archangel is the patron saint of broadcasters as per the Patron Saint Index.
There is no patron saint of golf. St. Sebastian is the patron saint of athletics. Another opinion: The patron saint of golfers is St. Andrew.
No, there is no patron saint of billiards.
Saint Kiara is a saint but she is not the patron of anything at this time sorry
Saint Paul who was martyred in the persecution of Diocletian about 305 at Porto Romano at the mouth of the River Tiber. Not to be confused with St. Paul the Apostle.
St. Lucia Filippini is a saint but not a patron saint at this time.
The closest I can find is St Bernard of Menthon who is the patron saint of mountaineers.
David of Wales is the patron saint of doves.