Did the shop that put the tires on charge you a "tpms fee". When they do that they replace the batteries so it should be good for more. Can you toggle to tpms on the display and get pressures?
I've never seen a TPMS sensor with replaceable batteries. They're sealed and disposable.. The TPMS fee is usually (if they do anything) replacement of the valve core, sealing grommet and the nut that fastens it to the wheel.
Possible causes
- dead or dying sensor (which has been suggested and most likely)
-TPM system malfunction causing the computer to "forget" one or more of the sensor ID's
-Car in close range with a sensor of the same ID (sounds unlikely, but it CAN happen) setting a hard TPM code
If you live near a Discount Tire, they've been very helpful in the past with TPMS issues. If they're like my local store, someone can scan all the sensors to see if they're reading proper PSI compared to a pencil gauge and also to see if it's reading at all.
If I can recall, most Hondas use an auto-relearn so after a tire rotation or replacement, the computer gets used to "seeing" the same 4 ID's after numerous drive-cycles and the TPM registers them as belonging to the car.