Ideally a pool should retain the original water that was used to fill it. There are of course 1 or 2 normal and acceptable reasons why pools need new water periodically, such as for example, the sun evaporating a portion of the water. But, unless you live in a place that is constantly at very high temperatures and the sun is hitting your pool all-day, you should not be adding much water to the pool. Certainly NOT on a daily basis.
In short, the answer to your question if 8,000 gallons a month is too much is: YES, it is way too much!
As ajw22 said: (a) you either have an overflow pipe (a good thing) which is basically just dumping all that water back into the sewer (wasting it) or (b) you have a huge leak in the pool structure and/or pool pipes/equipment. I suggest you call the plumber and get the plumber to show you where the main water shut off for the entire house is located and also have the plumber fix that water valve in the last photo you posted. That valve in your last photo shows a rather sloppy work and that is never good when it comes to water.
After the plumber completes their work, check your pool's water level for a few days (one week should be enough considering the amount of water you say you are using a month on the pool) and if the water level in the pool does not drop then you are on the clear with respect to a structural/pool plumbing/equipment leak, especially because the temperatures in Spring aren't high. But, if the pool's water level drops in that week, then you need to call a pool technician because you likely have a leak somewhere.