Nexus 5 rebooting loop with dead Recovery mode ! any help ?

Welcome Dears

Before 1 week ago, my nexus 5 went into rebooting loop, it was a hardware issue, and after I replace the power button
still the phone rebooting on Google logo every second, when I connect it to the charger, its charging without problem until get a full charged battery, so I think it is not a battery issue, and I can enter the fastboot mode without rebooting, so I think its not a hardware issue now, it was and its goes out !
the problem also when I enter the recovery mode , "No Command" with android logo appears, then I press the Volume Up button then I get the recovery mode command, but unfortunately my PC can't see the phone, so I can't use the "adb sideload" command to flash my MIUI ROM (Version: 5.8.6) again

Code:

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adb sideload MIUI.zip
error: device not found

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but in the fastboot my PC can connect with Nexus, so I try to flash the CWM/TWRP recovery , I got these replay from the command,

Code:

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C:\adb>fastboot flash recovery hammerhead-cwm-6.0.4.4-unofficial.img
< waiting for device >
sending 'recovery' (10498 KB)...
OKAY [  0.453s]
writing 'recovery'...
OKAY [  0.847s]
finished. total time: 1.302s
C:\adb>

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but unfortunately when I repeat my nexus to recovery mode I didn't get the new flashed recovery ! still stuck on the dead old one !

when I use from recovery mode the "wipe data/factory reset" I got these three line then flashing on "no command" dead recovery logo

Code:

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--wiping data. . .
Formatting/data. . .
Formatting/cache . . .

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then go into "no command" dead recovery logo flashing until I force it shutdown by power button !
same result by "wipe cache partition" command

my Next step to flash the factory image by fastbood command but this solution will remove all files & pictures & Videos & my notes isn't it ?! :(

so if that is right ? do you have any other solution to run up my nexus and avoiding these rebooting loop or flash new recovery / custom ROM without loosing my data ?! " I am not afraid of loos any Apps and data of them" I need my sound files, videos, pictures and notes.

Pictures below for more clarify the issue !

I get "No Command" when I enter the Recovery mode
http://store2.up-00.com/2015-08/1440196110631.jpg

The pictures of Dead Recovery Mode commands
http://store2.up-00.com/2015-08/1440196110722.jpg

Thank you.