This question has been answered by paulp. See the first response.
If you jumped directly to 2.6.5, that might explain the problems. You should upgrade to 2.3.0, then 2.4.0, then 2.5.0, then 2.6.5.
Once you hit 2.3.0, you should be able to install UpgradeMODX and use it for the rest of the upgrades.
getResources works fine on 2.6.5, what errors / issues are you getting ?
That sounds like it could be a permission error, can you check the components folder is presant and has the correct permissions
Also have you tried ununstalling getResources and then re installing it ( make sure you delete the core/cache content via FTP )