Installed the OS X Yosemite my computer  froze up daily, trying to reinstall then I got really stucked, please help

My computer kept freeze up daily with OS X Yosemite installed a while ago, and I followed the other  instruction to do "OS X" Recovery to: (1) erased my start up disk (2) Reinstalling Mac OS X Yosemite.
While  about 18 or 20 minutes remaining from the installation, it went back to 2 hours 57 minutes but stuck there. I let my computer run over night but it was still at 2 hours 57 minutes. so I cancelled the installation which seemed to be the only choice.
I tried again today, erased my start up disk and reinstalled again, same situation happened again, when the remaining time said around 20 minutes, it went back to 2 hours 56 minutes and stuck there.  I cancelled it again.
I read some other instructions in this community and did a hard shutdown and restarted while hold down the command key + R key. it took me to the disk manager screen and the only choice I had was the OS X Lion version.
I tried to install the OS X Lion, it said that will take 3 hours or so, after 20 minutes, a screen came up and said I need to turn off the computer by press the power button down then turn the computer on again.  And I did.  When I turn on the computer again, with Comand + R key pressed, I had to wait for an
internet recovery before I went back to the disk manager and trying to reinstall the OS X system. It kept coming back to ask me to turn the power off…
what can I do?  Please help,
MacBook Air

Boot back into the Recovery Partition. Run Disk Utility Verify/Repair and Repair Permissions until you get no errors. Then re-install the OS.
X Yosemite Installation Stuck with Minutes Remaining?

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