Hi,
A note on how I solved the storage renaming problem. After resignature procedure, the iSCSI storage named FS1-iSCSI became snap-4659cc8a-FS1-iSCSI. It cannot be renamed as long as the old storage is referenced by VMs. In my case, it was a VM with an iSCSI attached disk that was hosted on that storage and a VM with Veeambackup that was hosted on the storage itself. First, I shut down the VM that had the disk connected via ISCSI and removed the disk from the virtual machine (without removing the disk itself), then added it from snap-4659cc8a-FS1-iSCSI storage. LVM problems on the VM itself thankfully did not occur. After that, I removed the Veeambackup host from Inventory, then went to snap-4659cc8a-FS1-iSCSI storage via Browse, selected VM Veeambackup and right-clicked on the .vmx to register the machine back to Inventory. After other objects stopped referencing the old storage, it disappeared from the storage list, which gave snap-4659cc8a-FS1-iSCSI a rename back to FS1-iSCSI. Right click on the storage and rename it.
About the same reason was with mount point over NFS (volume number changed there, so I had to remount every esxi host in the cluster). On the old repository, Public was messing around on NFS, from where we took ISO images and rolled out the VMs. Some VMs referenced the ISOs in their DVD drives, which we had to delete. And change the mount pount on each esxi host:
esxcli storage nfs list
esxcli storage nfs remove -v Public
esxcli storage nfs add -H 192.168.X.X -s /volume2/Public -v Public
It is also important to remember, virtual machines storing multiple snapshots need to consolidate them before this procedure.
The following articles helped:
Troubleshooting LUNs detected as snapshot LUNs in vSphere (1011387)
https://kb.vmware.com/s/article/1011387
How to register or add a Virtual Machine (VM) to the vSphere Inventory in vCenter Server (1006160)
https://kb.vmware.com/s/article/1006160
Consolidating/Committing snapshots in VMware ESXi (1002310)
https://kb.vmware.com/s/article/1002310
Remounting a disconnected NFS datastore from the ESXi command line (1005057)
https://kb.vmware.com/s/article/1005057
Also a big thanks to battybishop!