OfficeJet Pro 8710 All-in-One scanner not working at all, and printer, ocasionally

1. Your Linux Distribution and version: Ubuntu 16.10 with GNOME desktop

2. Your printer make/model: On the case of all-in-one, it shows HP OfficeJet Pro 8710, BUT when lsusb, it reports as Officejet_Pro_8500_A909g?serial=CN68UG31NM

3. If possible, run 'hp-check -t' and post the output.
Log attached.

I also add the output of

$ hp-scan -g

HP Linux Imaging and Printing System (ver. 3.16.11)
Scan Utility ver. 2.2

Copyright (c) 2001-15 HP Development Company, LP
This software comes with ABSOLUTELY NO WARRANTY.
This is free software, and you are welcome to distribute it
under certain conditions. See COPYING file for more details.

hp-scan[27449]: debug: getDeviceUri(None, None, ['hpaio'], {'scan-type': (<built-in function gt>, 0)}, , True)
hp-scan[27449]: debug: Mode=0
warning: No destinations specified. Adding 'file' destination by default.
Using device hpaio:/usb/Officejet_Pro_8500_A909g?serial=CN68UG31NM
Opening connection to device...
error: SANE: Invalid argument (code=4)

4. A detailed explanation of your problem.
Scanner is not accesible by xsane or simple-scan, so I cannot scan.
Model number used and recognized by hp-setup doesn't correspond to physical model

5. Steps to recreate the problem.

First, permissions for USB bus to all-in-one are OK (as far as I understand):

$lsusb
Bus 006 Device 003: ID 03f0:7c12 Hewlett-Packard

$ ls -al /dev/bus/usb/006
total 0
drwxr-xr-x 2 root root 100 feb 25 23:50 .
drwxr-xr-x 11 root root 220 feb 25 17:35 ..
crw-rw-r-- 1 root root 189, 640 feb 25 23:35 001
crw-rw-r-- 1 root root 189, 641 feb 25 23:35 002
crw-rw-r--+ 1 root lp 189, 642 feb 26 00:12 003

I have used alternatively method A or B to install device (and erase device to install with other method as a new one) using hplip-3.16.11.run as normal user:

  A. When I try to add a device using hp-setup, sometimes it doesn't recognize the device. When it does, it uses a model that doesn't correspond to physical model: I have OfficeJet Pro 8710, but hp-setup only sees a OfficeJet Pro 8500. Cannot print nor scan.
  B. When I install using CUPS browser admin, I can add the all-in-one as model 8710 but then hp-set cannot list it (cups uses hp-cups driver). Can print but cannot scan.

5.1 When I try to scan using xsane, I got an error: Scan job failed (2002).
Then I try $export SANE_DEBUG_DLL=128; scanimage -L

[dll] sane_get_devices: found 1 devices
device `hpaio:/usb/Officejet_Pro_8500_A909g?serial=CN68UG31NM' is a Hewlett-Packard Officejet_Pro_8500_A909g all-in-one
[dll] sane_exit: exiting

5.2 Then I try $scanimage

[dll] sane_get_devices: found 1 devices
[dll] sane_open: trying to open `hpaio:/usb/Officejet_Pro_8500_A909g?serial=CN68UG31NM'
scanimage: open of device hpaio:/usb/Officejet_Pro_8500_A909g?serial=CN68UG31NM failed: Invalid argument
Type ``scanimage --help -d DEVICE'' to get list of all options for DEVICE.

5.3 Although hp-doctor reports that scanimage program is not installed, it is.
$scanimage --version
scanimage (sane-backends) 1.0.25git; backend version 1.0.25

$sudo dpkg -l sane-utils
Desired=Unknown/Install/Remove/Purge/Hold
| Status=Not/Inst/Conf-files/Unpacked/halF-conf/Half-inst/trig-aWait/Trig-pend
|/ Err?=(none)/Reinst-required (Status,Err: uppercase=bad)
||/ Name Version Architecture Description
+++-==============-============-============-=================================
ii sane-utils 1.0.25+git20 amd64 API library for scanners -- utili

5.4 Also I tried
$hp-scan

HP Linux Imaging and Printing System (ver. 3.16.11)
Scan Utility ver. 2.2

Copyright (c) 2001-15 HP Development Company, LP
This software comes with ABSOLUTELY NO WARRANTY.
This is free software, and you are welcome to distribute it
under certain conditions. See COPYING file for more details.

warning: No destinations specified. Adding 'file' destination by default.
Using device hpaio:/usb/Officejet_Pro_8500_A909g?serial=CN68UG31NM
Opening connection to device...
error: SANE: Invalid argument (code=4)