Both Kernel Panic logs are referencing "nvme" which is the SSD. Most likely the SSD is failing, although there is a slim possibility that you have some third party driver installed which is interfering with macOS with the usual culprits being anti-virus software, cleaning apps, and third party security software.
You can check to see whether your laptop qualifies for this free Apple SSD repair program:
https://support.apple.com/13-inch-macbook-pro-solid-state-drive-service
I've seen several of our organization's non-Touchbar MBPros have bad SSDs which did not qualify for the free repair program.
You definitely want to have frequent & regular backups since your SSD is most likely going to fail completely at any time.
You should also check to see if your laptop may qualify for the free Battery repair program:
https://support.apple.com/13inch-macbookpro-battery-replacement
FYI, here is the current list of the publicly acknowledged free repair programs for various Apple products (some products like your laptop may have multiple programs):
https://support.apple.com/service-programs