Files I deleted prior to backup showed up in the data migration

I don't see anything wrong in those screenshots, although the middle one is hard to tell since I don't know where that one is located and the names of the files are not complete (Adobe, one is maybe Amazon, not sure about the other two). A better way for us to check your system is by posting an EtreCheck report here since it will list all third party software that is launching during boot & login, plus it provide a summary of the system logs.

There is no need to use any cleaners or optimizers since they usually cause more problems than they solve, plus they impact system performance. There is also no need for any anti-virus apps and third party security software for the same reason. If you feel you have malware installed, then you can run MalwareBytes to scan the system (this is the exception to the rule), but there is no need to keep it installed.

https://discussions.apple.com/docs/DOC-8841

As for those LaunchAgents being deleted on the old system, are you sure they were completely removed? And was a TM backup made after those LaunchAgents were deleted? Due to how APFS file systems and APFS snapshots work, maybe you did not get a good backup after removing those LaunchAgents. TM may have made a new APFS snapshot, but that snapshot without the Launch Agents may not have been transferred to external media.

I don't think you have anything to worry about on your system.

beegee18 wrote:

I ran etrecheck and it is reporting 2 malwares. How do I attach the PDF report here? I dont see any options.

You don't attach the .pdf. Within the EtreCheck app you need to click the "Share" or "Share Report" button, then select "Copy" or "Copy Report" in order to copy the report into the system clipboard. Then click on the "Additional Text" icon which looks like a piece of paper on the forum editing toolbar so you can then Paste the contents of the system clipboard into the "Additional Text" field. The EtreCheck should have these instructions listed when you first ran the app ,or it should be available on the Help menu.