MacOS – My Mac would turn on but it would get stuck on the white screen upon startup after chime

My Mac turns on but it gets stuck on the white screen upon startup after the chime. I have OS X 10.7.5

I have tried many things unsuccessfully like:

CommandR: Boot to OS X Recovery Mode => The window does not pop out.

Option: Access Mac Startup Manager => When I choose the Recovery disk, again it goes to white screen.

Option: Access Mac Startup Manager => Again it goes to white screen.

I reset CommandOptionPR: Reset PRAM => with no luck

I reset SMC, disconnected the battery cable and held the button for 5 seconds => No luck

Used CommandS: Single User Mode => Type fsck –fy and press Return

I typed /sbin/mount -uw /:

hfs: Removed 2 orphaned  / unlined files and 0 directories

I tried:

touch /private/var/db/.AppleSetupDone
exit

=> This didn't work either

When I connected in Target Mode T via Thunderbolt cable to another Mac => I was able to scan entire disk drive and fixed any errors on disk => but now still unsuccessful with boot up.

When I was in Verbose Mode I noticed the following line:

SMC: :smcInitHelper ERROR: MMIO regMap == NULL - fall back to old SMC mode

BootCacheControl: Unable to open /var/db/BootCaches.playlist: 2 no such file or directory 

Do you have any recommendations what I should try next?