They have some existed new or why price increased for last few days? I just read their twitter and there are no information... May be some insiders information or some existing news coming? When they will have at last own wallet with native tokens? They said about own blockchain, but don't have coins for more than half of year

The mainnet exists since spring. There are native tokens there as well as erc20 token. For now you can hold whatever you like but in the future I think only native tokens will stay. You can also find the wallet in the mainnet as well.
A great summary indeed, although I have to make a slight correction. In the future (the near one), both tokens will exist. One cannot remove data from the Ethereum network, therefore UTNP will stay there regardless.