NFC microchip Read only unlock

No, that’s why the warning is telling you you can’t unlock the tag if that is checked. You may be able to recover it with a Proxmark, but I can’t confirm that, you’d have to wait for someone else to chime in.

How did you get your tag readout that you posted here?
The readout you posted has an error at the bottom, which may be contributing to the issue. There’s Dynamic lock bytes stored in the last page or so of the chip that I’m not seeing in your dump.

Here’s a quote from one of Amal’s posts explaining this: