Yes, you've identified them.
If the gauge works, 65 pounds of pressure is very good and would indicate that the pump is doing its job but something is constricting the flow! Either leaks in the system (possible) or filter is clogged (probable). Typically, there will be a "raw water" faucet which is plumbed in before the filter. If you get a high stream of water pressure from the "raw water" side, you probably have a clogged filter.
The filter pictured is on the raw water side (before the water enters your tank). Do you have a water treatment/ filtering system (water conditioner) in the line going to your home?