Case length and overall length, I would consider .005" to be good enough. .0078" would also be suitable for these purposes in my opinion. This is for general purpose reloading and not ultra-precision long-range competitions or anything like that.
As Eagleeye said, I would want a micrometer for bullet diameters. I have several now but when I started reloading I bought a $20 0-1" micrometer from Lee Valley and I still keep it in a drawer in my reloading desk.
Also remember that many digital calipers and micrometers have an extra nearly-useless digit. Many digital calipers show 4-digits and micrometers show 5-digits. When a caliper shows 4 digits (the 4th digit is often only 0 or 5, nothing else), but the error on the reading is +/- .002" (very common for calipers), how can you have any faith in the digit that's a fraction the size of the possible error? Many modern micrometers are the same but with the 5th digit. If the error is +/- .0002", but it displays .00005", it's a useless reading. No serious machinist, tool and die maker, or others involved in the manufacturing/fabrication industry will trust a caliper smaller than .002" or .001" and a micrometer no smaller than .0002" or .0001".