To answer myself, I just fixed this.
The solution was to go and delete /apps/android.uniwar folder. I did this as root, just open up terminal emulator do "su - root", allow root permissions if tf101 asks, then "rm -rf /apps/android.uniwar". Then just type "exit" and you shall be able to reinstall uniwar from google play
Be careful with root permissions and "rm" command, especially with "-rf" switch. If you enter at "rm -rf /" your whole filesystem will be history very very fast.