Excellent points from gardenbear. Clover makes a nice permanent "turf." Your watering is way off. What you are doing is encouraging very shallow roots. What you need is very deep roots to handle the heat. In order to get deep roots you need to space out the intervals and water longer. We talk about deep and infrequent as the basic guidelines for watering. Deep means one full inch all at one time. Watering at 4 and 5 is still considered "all at one time." Just don't water 1/7 inch every day. Infrequent means once per month in the cool months and once per week in the heat of summer. By watering deep and then not watering for a long time, the grass roots will dive deeper looking for that water stored deeper in the soil. You cannot go cold turkey to get to deep and infrequent. Start by stretching the interval and watering a little longer. You should also measure how much your sprinkler puts out in 15 minutes. Actually use tuna or cat food cans to measure how long it takes to fill them. That is an inch. My system takes 8 full hours to fill the cans. My neighbor takes 15 minutes. You really need to measure your own system. Deep watering will be better for any trees you have left, too. NOW is the time to redo your lawn. Spring is NOT the time to redo your lawn. If you want to do a real lawn renovation, start now. For 700 square feet it should not be much work. Let us know if that is what you want to do.

Feed mill had some here $8 for 50 pounds

The majority will die off next summer, but it can survive (even significant amounts) if we get a rainy one. The second year, it's usually gone. I might be inclined to return that if I could and get something else without the annual rye. If not, it should be OK to use, just keep in mind that the stuff might last longer than you really want.

Where in the world are you? Have you asked the people at your local office of your state universities Cooperative Extension Service?