It seems impossible to find any information about the operations in Papua/Sentani on the internet, having found only one of lilflyboys mentioned 7 operators.
Here are three that I know of who take foreign pilots;
HOME
Home » dimonimair.com
https://www.maf.org/about/where-we-s...a#.U-12RaMYkeM
There are also a few in Kalimantan (Borneo)
http://airborn.co.id/
Whitesky Aviation
Regarding having your licenses and logbooks with you, it's always a good idea to have those when looking for a job. The license validation, plus work visa immigration process can take months to complete so the quicker you can get the ball rolling, the better it will be for you.