basjak, are you trying to compile the template or did you copy the template somewhere to create your own project?
Also, if you are using VS2010, you want to make sure that the library paths (in both Debug and Release configurations) point to the VS2010 directory (pseudo-code: <agkwinpath>\IDE\platform\windows\Lib\VS2010\<Debug|Release>
.
I have had no issues with building Tier 2 in vs10813, the agk.h file exists in <agkwinpath>\IDE\common\include.
If the file is not there, then your installation did not work properly.
Cheers,
Ancient Lady
AGK Community Tester and AppGameKit Master