1. Everything on the Internet is IP-to-IP. One cannot void that, of course. KoreCoin, however, uses TOR,
to hide IP connections. Furthermore, encrypted communications makes no sense to to would-be snoopers and so 'random' IP connections that cannot be read mean little to eavesdroppers. Wallet addresses - used to make VoIP calls -
are anonymous (if not published and linked to an identity), and with PoBA, transactions between addresses can be completely hidden!
2. YES!

If you leave your wallet running you will get more(!)

It's called Staking, and it's how new KoreCoin are generated (through PoS.) The amount you received is what your wallet mined.

Oh, and, welcome to Kore! Good to have you with us.

Thanks for the answer and also thanks to Pala_00!
So Korecoin uses TOR by default? I thought I need to configure it to use TOR.
But If Korecoin uses TOR by default, it also chooses an exit node. Is there any way I can set preferences (for example: Just use Exits from the Czech Republic)?
And to the second point. How much Korecoin do I get? Is it always the same amount or a percentage of something?
If everybody get new Korecoin just be running the wallet, doesn't that mean that Korecoin lose their worth because new coins are created every second (inflation).
1. Yes,
or even have the TOR software installed. It's all automatic, not sure if one can tell it what to do because it's made to work without you needing to know anything technical. (For specific details you might want to put that question to the Dev.)
2. 10% per year. If you Stake, you receive it. Some people Stake, others don't (for instance speculators tend to keep all their coins on exchanges, and so lose out on staking, but that's all a personal choice.)