The problems you are experiencing and the fact that the pages are worn in the owner's manual suggests this is an issue that has been present for some time. If the tyre pressures are correct but the system is indicating low pressure, it would suggest that there is a fault within the system, potentially the pressure sensors giving a false reading. If the car was purchased from a dealer you are within your rights to ask them to rectify the issue. If this is unsuccessful you may wish to seek advice from an independent Honda specialist who may be able to offer further advice.

Not all vehicles are fitted are fitted with a jack, as many cars are fitted with an emergency tyre inflator instead. We would suggest checking the boot space to determine if this has been supplied. If you have a spare wheel however, your vehicle should come supplied with a jack.