You have many kexts and extensions, some of which I don't know much about. Many of which seem to be quite old, potentially not compatible with Mojave.
System modifications - There are a large number of system modifications running in the background.
Runaway user process - A user process is using a large percentage of your CPU.
Not sure why there is a runaway user process when you presumably don't have much running 1 hour after boot up? Also, dozens (more than 70) of 32-bit applications is indicative of older software or system extensions. Are you certain which extensions you have installed and are using are compatible with Mojave?
CleanMyMac is still there. Recommend this be removed. The report says it was installed in 2014?
[Loaded] com.macpaw.CleanMyMac2.Agent.plist (? def16639 - installed 2014-12-01)
apcupsd -- I am not familiar with this but from what I can tell, this is a system extension to interact with a UPS device. But the most recent version appears to have been released for 10.11. Do you know that this is compatible with Mojave?
APC PowerChute Personal Edition (installed 2015-09-05)
FTDIkext -- what is the vendor for this extension? I recall that it is used as a driver for USB devices, but the corresponding Apple driver can conflict and sometimes one or the other is uninstalled to eliminate a potential conflict. What is FTDIkext used or installed for?
PXHCD -- not sure, but I think this is an older USB driver that is included in LaCie software packages. If it doesn't come from Apple, I'd consider it suspicious (I also think it is also very old).
jmPeripheralDevice.kext - do you know what this is?
FUSE for OS X (OSXFUSE) (installed 2014-06-09) -- another ancient software package, is this still working in Mojave?
The LaCie software is still running (and apparently crashing):
2020-01-06 15:18:21 LaCie Desktop Manager.app Crash
Executable: /Applications/LaCie Desktop Manager.app
Details:
dyld2 mode
These are all candidates for causing trouble. I don't know enough about them to say much more than that. Since some are quite old, there is a decent chance some are no longer compatible with Mojave, but you need to find the one that is interfering with mounting your drives.
By the way, are you mounting these drives through a hub of some sort? Try connecting them one at a time, just with a direct connection, to see if that helps.
The potential problem with installing unique drive manufacturer firmware and software is that it must be kept up to date, otherwise an OS update/upgrade can leave one with a drive that won't mount (if you search online, you will that this has in fact happened with multiple drive manufacturers over the years, it is not unique to LaCie). In the worst cases, the drive contents are unrecoverable; at least in your case your data is still there (but can't be accessed via Mojave on your Mac unless booted into Safe Mode).
By the way, the reason I had suggested backing up and reformatting your external drive (and then restoring its files) is that even if you somehow remove the problematic extension(s) from your Mac, the Mac extensions and corresponding drive firmware go hand in hand and "cleaning" one but not the other might or might not enable you to ultimately use that disk.