Pics!

Remember, air can get sucked in while the system is running which is anywhere from the pump backwards to the pool skimmer. That's a suction side leak. But air can also get pulled IN past the pump (pressure side) towards the filter when the system is off. Sometimes you see a water leak pushing out (pressure), but not always. So when you hear air and water sloshing around when you turn the system off, air is seeping "IN" just about anywhere on that equipment pad.
Start slowly and methodically from the pipes that come up & out of the ground towards the pump, then inspect everything along the way until the lines go back to the pool. Make sure the pump lid and drain plugs have silicone lube. Be weary of those old ball valves. They can go bad and allow air in. Unions along the PVC line are great, but check them too since they have a small O-ring inside. The filter pressure gauge can also leak air in. Just take your time. It's a tedious hunting expedition, but you can get it. Process of elimination.