We are dealing with 2 different problems.
To create a bootable USB you will need a Mavericks Installer package from Apple Store the 5.5 Gig file saved to MBA- but not run.
I used this proces to make a bootable USB:
Format it, using Disk Utility, as a Mac OS Extended (Journaled) drive, named Mavericks.
This can be done from the Erase tab within the app; make sure the USB drive does not have multiple partitions (that can happen, so turn to the Partition tab to verify and correct this).
sudo /Applications/Install\ OS\ X\ Mavericks.app/Contents/Resources/createinstallmedia --volume /Volumes/Mavericks --applicationpath /Applications/Install\ OS\ X\ Mavericks.app --no interaction.
Erasing Disk: 0%... 10%... 20%... 30%...100%...
Copying installer files to disk…(this part can take 30 minutes)
Making disk bootable...
Copying boot files...
If problems reoccurs get another USB stick with minimum of 8 Gig capacity (not partitioned).
Repairing your Hard drive:
If the MBP boots in the Recovery mode using cmd-r then follow that process to restore your OS installation, or use the Disk Utility to check/repair the disk.
You can open the terminal and use the fsck -fy to check repair the disk.
If the problem is minor you can start in Safe mode that will correct some minor issues.