Should it take 5 hours for TM to verify backup?

Yes you should wait, otherwise it may have to start over!

How large is your backup? Time Machine creates many copies & 'pointers' to copies of data.

When a backup runs it doesn't just copy data, it also has to check if there is old data to delete (it keeps hourly copies for a day, daily copies for a week, weekly copies for a month then monthly copies until the disk is full).

It may also need to scan the source disks depending on if the history of changes is out of date.

If it completes, then backs up OK reboot & confirm that it doesn't happen again. If it does then you need to consider replacing the disk or looking at repairs etc.

You have a few options as I see it…

1. Run another Time Machine (TM) backup & hope it completes before the system falls over again. If it fails try again… until you are sure it has completed.
2. Reboot into safe mode (hold shift at startup) then try another TM backup. Safe mode disables all third party extensions & many non-essential Apple ones, some things will not work - try a Time Machine backup & see if it completes.
3. You can also reboot into recovery mode & clone the system with Disk Utility - that should prevent the current OS affecting the backup process. To do this you need another disk with enough free space to contain a backup of the entire disk. Recovery mode has it's own OS so if it crashes you need to consider that the hardware may be faulty. The destination disk (or partition) must be erased if you use this method (DO NOT ERASE THE TIME MACHINE DISK).
4. Also in recovery mode you could make a 'disk image' of the OS disk. This is not bootable, but you can use it to restore files. This can be compressed, which saves a little space, but don't count on cramming too much data onto a small disk, there are limits.

If you post more info about the crashes & the app in question we may be able to suggest ways to disable it, just be aware that the app may not the only reason for a kernel panic - you want to get good backups incase this is a hardware issue that needs to be sent away.

I can go into detail if you need to pick one of those options, but it would help to know what other disks you have & if you have one large enough for a full clone that can also be erased during the process. Please do not consider deleting old backups to make a new on - it is a risk.

My guess (from a quick look at one of you panics in the other topics you made) is that you installed Blackberry desktop…

https://swdownloads.blackberry.com/Downloads/contactFormPreload.do?code=CBC462E2 7100DAD71CDBF606D396DDAD&dl=3C4BB676CED2EDE17E0996B0A4A20B01

Download that. Click the uninstaller. I doubt it is causing these panics, but let us know if they stop. Also reboot.

The only true way to verify Time Machine backed up is to restore all of the data onto a freshly installed OS. You really don't want to risk that on your main disk!

You can also browse the Time Machine disk (from the menu) & see if the files look correct, but that is just a test, see if any new files look recent (or make a new file & run a backup & check it updates).

I think you should have taken Linc's advice in January…

Linc Davis - Computer shuts down

Erase the system & restore only your user files, you are having too many issues with this Mac, either the hardware is broken/ failing or the OS has too much bad software installed. Clean installing the OS will rule out one of those 2 potential faults. A hardware fault would need to be resolved by Apple.

P.S.

The other backup types I mentioned are very simple to do. It is a really good idea to have several backups. Time Machine is 'all your eggs in one basket'.