The NBI check will indicate any known criminal conviction. If it's just an arrest but without charge that's not a conviction.
Naturally the NBI will review the 'home country', additionally usually they 'should' review ASEAN counties also.
All I can say is that the Philippines is not the best country in which to reside if you DO have an UNSPENT criminal conviction.
The Mayor of Davao is a pretty hard nut.
Just today he announced he will reward any police who prevent Hold-Upper. When asked if this was 'dead-or-alive' he reply either.
You know the police in Philippines are always armed.