Try NFC Task Launcher . You need to get some writable NFC tags.

You phone can detect passport, mykad, touchngo card, Rapid KL token, Mastercard Paypass but cannot write on any of them.

NFC Retag or Anytag NFC Launcher are useful in this case.

sorry, to be precise, actually it's the touchngo chip in mykad that can be detected.
most probably your mykad do not have touchngo?

yup, just place mykad/touchngo card at the back cover. if you hear beeping sound, your card can be detected.

if there's an NFC app, it will launch that app. I'm not sure if there's a default app in Note II.
If possible, you can download app like NFC Tag Info and launch the app before you tap your mykad/touchngo

Please download NFC Tag Info app, at least you can read some info out of them.

Now, about the passport, this is interesting. I never try this as I do not have the newer eMRTD passport, the older ones are not readable.

Try use the app above and see if you can read out passport info. You might have to key in basic info like passport number, birth date, passport expiry date.

More details here

what you want to do is known as card/tag emulation mode. In the normal read/write mode, when you put a tag to the phone, the phone is acting as a reader. in tag emulation mode, your phone act as a tag for other readers.

Android does not allow tag emulation mode. You have to hack the ROM to do this. There are some successful cases reported with custom ROM doing tag emulation.

I have tried nfc classic app with stock ROM, but so far no successful case for me. I'm not sure whether the app really works.

Of course payment related cards like touchngo or mastercard paypass has their own security layer. So it wont be easy to clone them unless you know the security key.