1) About staking when wallet is encrypted: no, for begin staking with encrypted wallet, you must unlock it (gui checkbox exists)
2) About total coin supply:
Technical Specifications
Type PoS
Coin name TokyoCoin
Total coin supply 800,000,000 coins
PoS percentage 200% per year
tokyocoinsrc-master/src/main.h:50: MAX_MONEY = 600000000
Is it mistake in first post?
Just for info, the POS % per year is not 200%, you can calculate the stake value , you only get 100% per year... I'm staking quite a few coins and all running on a Spread sheet Calculator.