when the VMs starts and ends being processed by the veeam job, vm size, vm size processed by the veeam job
This information can be taken from the script posted in the adjacent thread.
if there are remaining snapshots on my ESXi for that VM.
You can use either Veeam ONE with its predefined report called "Active Snapshots" or PowerCLI. In the latter case, some inspiration can be taken from this
script that finds Veeam leftover snapshots and consolidates them.