The Iraq note is dated 2003 (post-Saddam period; the 50 dinars used to have his portrait). Can't help with the Pick#.
The Malaysian 1 ringgit is only datable by the signature of Ms Zeti Aziz to the period between 2001 and now.
The Mongolian ones are from the "1993 series". Inflation has basically made the smaller denominations worthless, though
Wikipedia reports the 1 and 5 tugrik to be "abundant among collectors". The 1 tugrik is P# 52, the 20 tugrik is P# 55.
Philippines: I'm so confused. The brown one (10 piso) is recorded in my Pick (P# 169) as being issued from 1985-1991, with signature combinations 10, 11, 12 and 13. Yours is clearly combination number 14. Either Pick's signature guide is wrong, or this is an unrecorded variety.

The other Philippine one (5 piso, blue) is from the same series (1985-91), signature combo #12.Pick #168d.
Trinidad & Tobago: a variant of Pick #36, but this signatory isn't listed in my Pick, so it must be from after 2002.
Zambia: thank you, Art (whoever Art is) for personalising this note - and for dating it. Again, the signatory isn't in my Pick (post-2002), but it'll be a variant of P# 24.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis