Randy,
I have a 1983 h34 basicly the same boat.
First Check your aft water tank and make sure it is full, if not full the bow will set low.
Second under the v-berth there are storage compartments that a lot of dealerships utilized to install knot meter transducers that the thru hull maybe leaking.
Third check anchor locker for excessive waigh, such as anchor chain.
There is an inspection plate in the v-berth that allows access to the anchor well hose drain, that thu hull fitting on both ends of the drain hose are common to fail from ice that cracks the connections. That rain water will then run down the hull and settle into the forward storage compartments.
The starboard list is due to poor weight distribution from Hunter.
They put too many heavy items on the starboard side.
Holding tank, hot water heater, fuel tank, battery bank just to name a few.
Some owners have moved the batery bank to the aft locker or allong side the port water tank. They claim that this has helped.
The liner cavity you spoke of is sometimes referred to as a false bilge.
That will only accumulate a gallon or so of water. If you have not done this modification, you should. You will be amazed how much of a diferance it makes.
Hope this helps