Time Machine backup stopped it self in the middle of a back up and I have error in the logs

Question

I had a timemachine backup going it was supposed to be 48.88 gb of a backup but the backup stopped at 30.x gb
9/6/12 5:29:55.869 PM mds: (Error) DiskStore: No block in wakeup
9/6/12 5:29:55.895 PM mds: (Warning) DiskStore: Ignored bogus fetch for <MDSQueryWithBlockTask: 0x7fe10a3365b0>{taskID:0x00001071 age:318ms} (not live not complete) InRange(_kMDItemIndexedByBackup,1,1)
9/6/12 5:29:55.965 PM mds: (Warning) DiskStore: Ignored bogus fetch for <MDSQueryWithBlockTask: 0x7fe10a3365b0>{taskID:0x00001071 age:389ms} (not live not complete) InRange(_kMDItemIndexedByBackup,1,1)
9/6/12 5:29:56.132 PM mds: (Warning) DiskStore: Ignored bogus fetch for <MDSQueryWithBlockTask: 0x7fe10a3365b0>{taskID:0x00001071 age:556ms} (not live not complete) InRange(_kMDItemIndexedByBackup,1,1)
9/6/12 5:29:56.231 PM mds: (Warning) DiskStore: Ignored bogus fetch for <MDSQueryWithBlockTask: 0x7fe10a3365b0>{taskID:0x00001071 age:655ms} (not live not complete) InRange(_kMDItemIndexedByBackup,1,1)
9/6/12 5:29:56.377 PM com.apple.backupd: Deep event scan at path:/ reason:must scan subdirs|new event db|
When I try to view the logs with the time machine pluged in the logs are all jumpy now and times are messed up
9/6/12 4:53:10.000 PM kernel: [0bb44680][AppleMultitouchDevice::start] entered
9/6/12 4:54:14.000 PM kernel: nspace-handler-set-snapshot-time: 1346972056
9/6/12 11:31:31.971 AM Firewall: Stealth Mode connection attempt to TCP 192.168.1.106:53362 from 199.59.148.11:80
9/6/12 11:31:32.276 AM Firewall: Stealth Mode connection attempt to TCP 192.168.1.106:53363 from 199.59.148.11:80
is what I keep getting sent back to, it is 5:38 pm and it should are there not where it is now
9/6/12 5:41:38.417 PM mds: (Error) Volume: Could not find requested backup type:2 for volume    Is also found now when I try to do a backup
Any idea what it is and how I can fix it?

Answer 1

You didn't have enough battery power left when performing the update, and it died? That's bad.
You should be able to reinstall OS X using OS X Recovery or in the case of an older MacBook Air running Snow Leopard, by using your original System Install DVD and Remote Install OS X from another Mac.
Reinstalling OS X does not erase your user accounts or data.
OS X Recovery:
http://support.apple.com/kb/HT4718
Remote Install OS X:
http://support.apple.com/kb/HT2129