The CSR's story about solar conjunction is pure BS. Solar conjunction will make you lose all your channels for about 5 minutes each day for the next week or so. It doesn't put multipath in local channels. Dish needs to send somebody to their local channel receiving site and adjust their antennas.
FYI, in Oklahoma City, solar outages should happen around 2:14 pm for channels on the 110° satellite, and around 2:55 pm for channels on the 119° satellite.
You'll have to call Dish Network again and hope you get connected to a person with a clue about how local channels work.