Won't build pressure during / after heavy rain

Well here's a puzzler, my well works fine most of the time, except whenever we have a very heavy rainfall. Duing those times I've noticed extra sediment in my sediment filter (sand) and the pump frequently has a tough time building enough pressure to reach the 65psi for the pressure valve to shut it off. Fortunately, I can hear when the pump runs so I can shut it off during these times so it won't be damaged. I'm located in South Jersey, near a wetland and our water table is very very high, pratically the surface. My well is 130 ft. and the pump is sitting at 40ft.

Is the filter before or after the pressure switch/pressure tank?

Filter is after the pressure switch

Hatch,
where is the well located and is the top of the casing above ground?

SAM

The well is located about 15 yards from the nearest visible surface water (after all this heavy rain) and about 40 feet from the house. The well casing is about a foot below the surface and capped by a green irrigation box. In looking at it there doesn't appear to be any water coming in over the top.

What would cause the pump to lose pressure at the house? I figure if the screen on the pump itself were clogged, it would remain clogged even after the rain water subsides and things dry out. This is odd becase the problem occurs only during heavy rainstorms and a day or two afterwards.

Is this a screened well or a rock well? If its heavy sediment it could be clogging a check valve or any kind of small fitting between the pump and the tank. After a couple of days that sediment could loosen up and then get sent into the filter. Rock holes sometimes have dry zones that dont produce a lot of water until heavy rains. A lot of times these zones have loose silt or sediment in them that get flushed into the well. There is also a good chance that because the well is below grade you are having some surface water intrusion that is carrying some sediment into the well. You might not notice anything when you look at it because maybe the water subsided at that point. I would take a peak at it during a good down pour and see what it looks like. regardless that casing needs to be above ground to prevent any surface contaminants from entering your well.

SAM