Are you saying to not use sophos at all, or just remove for another etrecheck? For now, here's the whole log with it still there. Also, not clear what you mean about the busy browser; there was no browser open on the machine when the test was run.
New Test: In this one, the only thing in red besides the invalid signatures is the mysql loading.
Hardware Information: (What does this mean?)
Mac mini (Late 2014)
[Click for Technical Specifications]
[Click for User Guide]
Mac mini - model: Macmini7,1
1 2.6 GHz Intel Core i5 CPU: 2-core
16 GB RAM Not upgradeable
BANK 0/DIMM0
8 GB DDR3 1600 MHz ok
BANK 1/DIMM0
8 GB DDR3 1600 MHz ok
Bluetooth: Good - Handoff/Airdrop2 supported
Wireless: en1: 802.11 a/b/g/n/ac
Video Information: (What does this mean?)
Intel Iris
Display 1280 x 1024 @ 60 Hz
System Software: (What does this mean?)
OS X Yosemite 10.10.5 (14F1509) - Time since boot: about one day
Disk Information: (What does this mean?)
APPLE SSD SM0256F disk0 : (251 GB) (Solid State - TRIM: Yes)
EFI (disk0s1) <not mounted> : 210 MB
Recovery HD (disk0s3) /Volumes/Recovery HD [Recovery]: 650 MB (75 MB free)
[redacted] (disk1) / : 249.78 GB (197.79 GB free)
Core Storage: disk0s2 250.14 GB Online
USB Information: (What does this mean?)
Seagate BUP Slim Mac SL 1 TB
EFI (disk2s1) <not mounted> : 210 MB
S3_Backup (disk2s2) /Volumes/S3_Backup : 999.86 GB (692.54 GB free)
ASIX Elec. AX88179
Apple, Inc. IR Receiver
Apple Inc. BRCM20702 Hub
Apple Inc. Bluetooth USB Host Controller
Thunderbolt Information: (What does this mean?)
Apple Inc. thunderbolt_bus
Gatekeeper: (What does this mean?)
Mac App Store and identified developers
Kernel Extensions: (What does this mean?)
/Library/Extensions
[loaded] com.asix.driver.ax88179-178a (1.2.0 - SDK 10.9) [Click for support]
[not loaded] com.asix.driver.ax88772 (1.3.0 - SDK 10.9) [Click for support]
[loaded] com.sophos.kext.sav (9.4.50 - SDK 10.9) [Click for support]
[loaded] com.sophos.nke.swi (9.4.50 - SDK 10.9) [Click for support]
Startup Items: (What does this mean?)
MySQLCOM: Path: /Library/StartupItems/MySQLCOM
Startup items are obsolete in OS X Yosemite
Launch Agents: (What does this mean?)
[running] com.sophos.uiserver.plist [Click for support]
Launch Daemons: (What does this mean?)
[loaded] com.adobe.fpsaud.plist [Click for support]
[loaded] com.bombich.ccchelper.plist [Click for support]
[running] com.mysql.mysql.plist [Click for support]
[running] com.sophos.common.servicemanager.plist [Click for support]
[loaded] homebrew.mxcl.php56.plist [Click for support]
User Launch Agents: (What does this mean?)
[loaded] com.google.keystone.agent.plist [Click for support]
User Login Items: (What does this mean?)
iTunesHelper Application (/Applications/iTunes.app/Contents/MacOS/iTunesHelper.app)
X-Assist Application Hidden (/Applications/X-Assist/X-Assist.app)
Other Apps: (What does this mean?)
[running] com.apple.DeviceManagement.postgres - No signature!
[loaded] com.apple.collabd.expire - No signature!
[loaded] com.apple.disks.smart.status - No signature!
[loaded] com.apple.salearn - No signature!
[loaded] com.apple.saupdate - No signature!
[running] com.apple.server.httpd - No signature!
[loaded] com.apple.server.v2.stats - No signature!
[running] com.apple.xpc.launchd.oneshot.0x10000000.Server - Invalid signature!
[running] com.etresoft.EtreCheck.121584
[running] com.ortabe.xassist.41496
[running] com.sophos.autoupdate
[running] com.sophos.configuration
[running] com.sophos.intercheck
[running] com.sophos.notification
[running] com.sophos.scan
[running] com.sophos.sxld
[running] com.sophos.webd
[running] org.amavis.amavisd
[loaded] org.amavis.amavisd_cleanup
[loaded] org.calendarserver.agent
[loaded] org.calendarserver.archive
[running] org.calendarserver.calendarserver
[loaded] org.calendarserver.relocate
[running] org.clamav.clamd
[running] org.clamav.freshclam
[running] org.dovecot.dovecotd
[loaded] org.dovecot.fts.update
[running] org.isc.named
[running] org.postfix.master.active
Internet Plug-ins: (What does this mean?)
FlashPlayer-10.6: Version: 20.0.0.267 - SDK 10.6 [Click for support]
QuickTime Plugin: Version: 7.7.3
Flash Player: Version: 20.0.0.267 - SDK 10.6 [Click for support]
Default Browser: Version: 600 - SDK 10.10
3rd Party Preference Panes: (What does this mean?)
Flash Player [Click for support]
MySQL [Click for support]
Time Machine: (What does this mean?)
Skip System Files: NO
Auto backup: YES
Volumes being backed up:
Server3: Disk size: 249.78 GB Disk used: 51.99 GB
Destinations:
Seagate Backup Plus Drive [Local]
Total size: 999.86 GB
Total number of backups: 83
Oldest backup: 5/8/15, 4:17 PM
Last backup: 1/3/16, 2:20 PM
Size of backup disk: Excellent
Backup size 999.86 GB > (Disk size 249.78 GB X 3)
Top Processes by CPU: (What does this mean?)
5% WindowServer
3% fontd
1% kernel_task
1% ScreensharingAgent
1% screensharingd
Top Processes by Memory: (What does this mean?)
1.04 GB kernel_task
508 MB mysqld
459 MB softwareupdated
328 MB clamd
229 MB InterCheck
Virtual Memory Information: (What does this mean?)
4.73 GB Free RAM
11.00 GB Used RAM (6.28 GB Cached)
0 B Swap Used
Diagnostics Information: (What does this mean?)
Jan 2, 2016, 09:25:15 AM Self test - passed