Being from TX with the recent heavy rains I have noticed our drains are now running slower that usual, we are on a septic system. Is this indicative of more serious problems or related to the recent high ground saturation?

"Is this indicative of more serious problems or related to the recent high ground saturation?"

What I think is happening is the recent high ground saturation has affected your drain field and now the tank's filling up because there's more discharge going in then the drain field can disperse. See if the tank needs to be pumped and try to use less water until you dry up. Good luck, Tom