Oh yeah, the laughing Pedant in me wants desperately to point out that CTire calipers are Digital Calipers, not Vernier.
A Vernier Caliper uses a series of lines slightly out of phase with the actual ruled measurement scale, to measure the in between thousandths of an inch, and requires decent eyesight but has no moving parts to go wrong.
A Dial Caliper uses a rack (straight gear teeth section) and a pinion (the little wee round gear) to move the needle on a dial (thus the name!) to show the distance traveled. They can get discomboobulated if too muck junk gets in to the teeth of the rack section.
Most makers include a tool for lifting the pinion off the rack, allowing you to adjust the position of where the needle rests at Zero.
Digital Calipers (mostly) use a magnetic reader to read a accurately made scale which is buried under the sticker that runs along the length of the main body of a digital caliper. They have assorted different possible issues, the most common being that people think they are getting a tool that is far more accurate than what it really is expected to be even by the makers. Handy as heck for inch-metric conversions on the fly, as the internal circuitry is counting both at the same time, you can easily set the zero point to a sample and have it read out pluss or minus from there, and if you sprung for good ones, you can even hook them up to record the measurements for quality control purposes. Though, maybe not the CTire ones, LOL!
A clean sheet of paper makes a great tool to clean the jaws. Close the jaws up on the paper and slide it off, then set zero. Do a visual check as well as a tactile one. Close the jaws tight and hold them up to a light and see if you get an even line of light through the gap in the jaws when you look through. Run your fingernail along the faces of the jaws and feel for dings, esp. at the tip.
Small dings can be carefully stoned off. Larger ones relegate the tool to the bin, or for the wood shop or welding shop for laying out rough lines.