My Arduino Nano turned into a zombie? (Half-alive, Half-dead)

Hello everyone, this is my first time using the forum. Sorry for any mistake committed by my part here.

I'm having a serious problem with my Arduino Nano recently. I already followed all troubleshooting steps and none of them worked. I will put some extra facts that maybe would help you guys figured out what's happening:

1- The loopback test didn't work. Basically, when a value is sent via serial monitor, there's no echo, just a blank field.

2- When the Nano is powered up, the "L" led always blink 8 times.

3- When the sketch is uploading, the RX and TX flash a few times with a very low LED intensity.

4- I tried to burn the bootloader with my Arduino Mega but it didn't work, and yes, I did everything right.

There are two things that could have done this with the Arduino:

1 - I broke the USB capacitor and I didn't replace it yet but this occurred a time ago when the Arduino was still working perfectly.

2- The day that the Arduino stopped working was when I decided to plug a 9V battery to power both HC-05 and MPU-6050 modules, and I swear, I didn't invert the terminals of the pins. Besides that, the Arduino was already plugged into the USB.

This is the message I get when the Blink sketch is uploaded.

 System wide configuration file is "C:\Program Files (x86)\Arduino\hardware\tools\avr/etc/avrdude.conf"

         Using Port                    : COM10
         Using Programmer              : arduino
         Overriding Baud Rate          : 57600
         AVR Part                      : ATmega328P
         Chip Erase delay              : 9000 us
         PAGEL                         : PD7
         BS2                           : PC2
         RESET disposition             : dedicated
         RETRY pulse                   : SCK
         serial program mode           : yes
         parallel program mode         : yes
         Timeout                       : 200
         StabDelay                     : 100
         CmdexeDelay                   : 25
         SyncLoops                     : 32
         ByteDelay                     : 0
         PollIndex                     : 3
         PollValue                     : 0x53
         Memory Detail                 :

                                  Block Poll               Page                       Polled
           Memory Type Mode Delay Size  Indx Paged  Size   Size #Pages MinW  MaxW   ReadBack
           ----------- ---- ----- ----- ---- ------ ------ ---- ------ ----- ----- ---------
           eeprom        65    20     4    0 no       1024    4      0  3600  3600 0xff 0xff
           flash         65     6   128    0 yes     32768  128    256  4500  4500 0xff 0xff
           lfuse          0     0     0    0 no          1    0      0  4500  4500 0x00 0x00
           hfuse          0     0     0    0 no          1    0      0  4500  4500 0x00 0x00
           efuse          0     0     0    0 no          1    0      0  4500  4500 0x00 0x00
           lock           0     0     0    0 no          1    0      0  4500  4500 0x00 0x00
           calibration    0     0     0    0 no          1    0      0     0     0 0x00 0x00
           signature      0     0     0    0 no          3    0      0     0     0 0x00 0x00

         Programmer Type : Arduino
         Description     : Arduino
         Hardware Version: 2
         Firmware Version: 1.16
         Vtarget         : 0.0 V
         Varef           : 0.0 V
         Oscillator      : Off
         SCK period      : 0.1 us

avrdude: AVR device initialized and ready to accept instructions

Reading | ################################################## | 100% 0.00s

avrdude: Device signature = 0x1e950f (probably m328p)
avrdude: reading input file "C:\Users\Bruno\AppData\Local\Temp\arduino_build_540360/Blink.ino.hex"
avrdude: writing flash (928 bytes):

Writing | avrdude: stk500_recv(): programmer is not responding
######avrdude: stk500_recv(): programmer is not responding
avrdude: stk500_recv(): programmer is not responding

Could someone try to hypothesize what is happening and what could be made to solve the problem? The Nano is like a zombie, I don't know if it's dead or alive.

"The loopback test didn't work."

But L LED blinks, so the '328P is working.

"RX and TX flash a few times with a very low LED intensity."
Controlled by the FT232.
I'm guessing you fried the FT232.