1) daysBetweenChecks = the number of days between connections to the LimeLM servers to validate a key (for example, if = 10, then calls to IsGenuine will not connect with the server until the 10th day, if less that 10 days, the validation is done offline)
Yes.
2) graceDaysOnIneErr = if an attempt to connect to the LimeLM servers fails, number of days to let the key remain valid for, or until the next successful connection for key validation
Yes.
3) skipOffline = not sure; could you please explain
Skip re-verification with the servers if the initial activation was done offline.
4) offlineShowIneErr = not sure; could you please explain
Show internet error if IsGenuineEx() retries and the initial activation was done offline.