Adding a action between two times, but relying on other variables.

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Took 3 1/2 hours to get the whole story :wink:

No idea how the compiler will interpret this "&& now.hour 12:00:00-13:00:00".

I'd nest the temp and humidity if inside the time if like this, and treat the time to the same style of if as you have for the temp and humidity:

if (now.hour > 12 && now.hour  <15) //or whatever the times need to be
{
    if (t > 32 || h > 70)
      {
          //do relay stuff....

edit: changed || to && in code above