Did I break my nano?

Okey dokey, so I did as you suggested, reburned the bootloader to the nano via the uno, that went without issue. I then disconnected them (nothing connected to any pins on the nano), plugged the nano into USB, changed the settings to board: nano/328p, port: COM5, programmer: AVRISP mkII and clicked upload, and I get this error:

Arduino: 1.8.5 (Windows 7), Board: "Arduino Nano, ATmega328P"

Sketch uses 928 bytes (3%) of program storage space. Maximum is 30720 bytes.
Global variables use 9 bytes (0%) of dynamic memory, leaving 2039 bytes for local variables. Maximum is 2048 bytes.
C:\Program Files (x86)\Arduino\hardware\tools\avr/bin/avrdude -CC:\Program Files (x86)\Arduino\hardware\tools\avr/etc/avrdude.conf -v -patmega328p -carduino -PCOM5 -b57600 -D -Uflash:w:C:\Users\HALO2F~1\AppData\Local\Temp\arduino_build_756897/Blink.ino.hex:i 

avrdude: Version 6.3, compiled on Jan 17 2017 at 12:00:53
         Copyright (c) 2000-2005 Brian Dean, http://www.bdmicro.com/
         Copyright (c) 2007-2014 Joerg Wunsch

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

         Using Port                    : COM5
         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\HALO2F~1\AppData\Local\Temp\arduino_build_756897/Blink.ino.hex"
avrdude: writing flash (928 bytes):

Writing | ################################################## | 100% 0.30s

avrdude: 928 bytes of flash written
avrdude: verifying flash memory against C:\Users\HALO2F~1\AppData\Local\Temp\arduino_build_756897/Blink.ino.hex:
avrdude: load data flash data from input file C:\Users\HALO2F~1\AppData\Local\Temp\arduino_build_756897/Blink.ino.hex:
avrdude: input file C:\Users\HALO2F~1\AppData\Local\Temp\arduino_build_756897/Blink.ino.hex contains 928 bytes
avrdude: reading on-chip flash data:

Reading | ################################################## | 100% 0.22s

avrdude: verifying ...
avrdude: verification error, first mismatch at byte 0x0288
         0x0e != 0x06
avrdude: verification error; content mismatch

avrdude done.  Thank you.

the selected serial port 
 does not exist or your board is not connected

That has to mean that I toasted the ch340, right? Just for completeness, I unplugged that nano and plugged in a brand new one, and uploaded the blink sketch without issue, on the same USB port too.