For a state of happiness:
* Masaya nang labis (literally: very happy)
* Masayang-masaya (very, very happy)
* Mapalad (blessed, fortunate)
* Nakapagtatagumpay (triumphant)
* Nag-uumapaw sa kaligayahan (overflowing with happiness)
For a state of being unaware of troubles:
* Walang kamalay-malay (unaware)
* Hindi namamalayan (not noticing)
* Nakalilimutan sa mga problema (forgetting about problems)
For a state of peace and contentment:
* Payapang-payapa (peaceful)
* Tahimik at masaya (quiet and happy)
* Kontento (content)
The best translation will depend on the specific situation and the nuance you want to convey.