Are there the direct flies from South Korea to Philippines?do they have close business relationships?

Korean Airlines, Asiana, Philippine Airlines and Cebu Pacific are but few airlines that have direct flights between South Korea and the Philippines.

Cebu Pacific flies on Charter between Manila and Seoul. Philippine Airlines flies between Manila and Seoul, Manila and Busan and Cebu and Seoul. Korean Air flies between Manila and Seoul 2x a day. Asiana flies between Clark, Manila and Cebu in the Philippines and Seoul and Busan in Korea.

There are lots of South Koreans that are either studying, on business or simply on holidays in the Philippines and there are lots of Filipinos either working, on business or on holidays in Korea as well.

Not only 'flies' but mosquitoes too

Yes, Philippine Airlines flies to Seoul directly.Other airlines that fly from South Korea are Asiana which flies to Clark(Pampanga), Korean Airlines also operates a direct flight.

I know that the Philippines has strong business relations with South Korea and in fact a lot of SOuth Koreans have established residence and businesses in Manila and elsewhere in the Philippines

There are direct flights
Pusan, South Korea to Manila, Philppines
Incheon Seoul, South Korea to Manila, Philippines
via
Philippine Airline, Korea Air, Cathay Pacific

US and majority of Philippine's neighoring country have direct flights.

I think there is.

yes, i think there are. korean air, philippine airlines... there are manila-seoul flights