Problems with Safari (4.0.5) Mail and Time Machine

Question

For some time I have been experiencing every day issues with Safari and Mail. These apps constantly crash i.e. several times a day. Recently I noticed also some issues with Time Machine. Please find below extract form Console that may say smething about the reasons for it:
10-03-22 00:58:33 mDNSResponder[17] ERROR: mDNSPlatformTCPConnect - connect failed: socket 82: Error 13 (Permission denied)
10-03-22 00:58:33 mDNSResponder[17] ERROR: mDNSPlatformTCPConnect - connect failed: socket 82: Error 13 (Permission denied)
10-03-22 00:58:33 mDNSResponder[17] ERROR: mDNSPlatformTCPConnect - connect failed: socket 82: Error 13 (Permission denied)
10-03-22 00:58:33 mDNSResponder[17] ERROR: mDNSPlatformTCPConnect - connect failed: socket 82: Error 13 (Permission denied)
10-03-22 00:58:33 mDNSResponder[17] ERROR: mDNSPlatformTCPConnect - connect failed: socket 82: Error 13 (Permission denied)
10-03-22 00:58:33 mDNSResponder[17] ERROR: mDNSPlatformTCPConnect - connect failed: socket 82: Error 13 (Permission denied)
10-03-22 00:58:33 mDNSResponder[17] ERROR: mDNSPlatformTCPConnect - connect failed: socket 82: Error 13 (Permission denied)
10-03-22 01:00:53 [0x0-0xd00d0].com.apple.JarLauncher[1341] Exception in thread "Thread-3" java.lang.ClassCastException: java.lang.String cannot be cast to youtubedownloader.C
10-03-22 01:00:53 [0x0-0xd00d0].com.apple.JarLauncher[1341] at youtubedownloader.r.run(Unknown Source)
10-03-22 01:02:22 mds[47] (Warning) Server: No stores registered for metascope
"kMDQueryScopeNetwork"
10-03-22 01:02:26 mds[47] (Warning) Server: No stores registered for metascope "kMDQueryScopeNetwork"
10-03-22 01:02:30 mds[47] (Warning) Server: No stores registered for metascope "kMDQueryScopeNetwork"
10-03-22 01:02:56 Firewall[91] java is listening from ::ffff:0.0.0.0:0 proto=6
10-03-22 01:05:21 Firewall[91] java is listening from ::ffff:0.0.0.0:0 proto=6
10-03-22 01:06:25 com.apple.launchd.peruser.501[208] ([0x0-0x93093].com.apple.iTunes[939]) Exited: Terminated
10-03-22 01:23:09 com.apple.backupd[482] Compacting storage: 617.85 GB requested (including padding), 34.00 GB available before compacting
10-03-22 01:23:09 com.apple.backupd[482] Stopping backup.
10-03-22 01:23:11 com.apple.backupd[482] Backup canceled.
10-03-22 01:23:15 com.apple.backupd[482] Ejected Time Machine disk image.
10-03-22 01:23:15 com.apple.backupd[482] Compacting backup disk image to recover free space
10-03-22 01:23:43 diskimages-helper[1485] Reclaimed 1.5 GB out of 36.0 GB possible.
10-03-22 01:23:44 com.apple.backupd[482] Completed backup disk image compaction
10-03-22 01:23:44 com.apple.backupd[482] Starting standard backup
10-03-22 01:23:44 com.apple.backupd[482] Network destination already mounted at: /Volumes/Time Capsule
10-03-22 22:09:35 mDNSResponder[17] ERROR: mDNSPlatformTCPConnect - connect failed: socket 23: Error 13 (Permission denied)
Please give me some advise of what should be done to cure the stability of my iMac.

Answer 1

If you have any, they'd be in that folder, in either your User directory or your root directory. If you have no such folders, then you have no Input Managers and they wouldn't be the cause of the problem.
In that case, I'd suggest going to Users/Username/Library/Caches/com.apple.Safari and deleting the contents of that folder, then locking the folder via the Get Info window.
Then go to Users/Username/Library/Safari and delete these files:
Downloads.plist
History.plist
LastSession.plist
Restart Safari and see if things improve.
If not, then the last thing I would suggest is downloading Onyx (http://www.titanium.free.fr/index_us.html) for your version of Mac OS X; install and launch it, select Automation, then select "Maintenance Scripts" and under Cache, select "System" and "User" (or "System and Kernel"), depending on options what your version gives you. Uncheck everything else and click the Execute button. Restart your Mac when it's done, then test Safari again.