The majority of the warnings and errors you have seem to be present on every 2004 system.
You can rid yourself of the ESENT Microsoft.Windows.Search entries by going to control panel -> Indexing Options -> Advanced -> Delete and rebuild index.
The remaining ESENT entries present after the rebuild are on every system I've looked at.
-"Failed with 0x57 retrieving AppModel Runtime status for package Windows." - common, ignore it
-"Session "Cloud Files Diagnostic Event Listener" failed to start with the following error: 0xC0000022" - occurs when OneDrive launches - common, ignore it
-DistributedCOM entries - common, ignore
-Kernel Event Tracing - common, ignore