No, it does not.
Yes, version 3 of DoBeDo can be downloaded here.
Note: Version 3 is no longer supported, and future development on that branch has ended.
No, tasks that share the same priority or due date can not be re-ordered.
You can not set alarms in DoBeDo.
Yes you can view them, but don't attempt to edit the tasks as they are read only.
DoBeDo is freeware. But, if you are overwhelemed with guilt at getting all this awsomeness for free, you can donate.