1. You can ignore the minor difference between what your depth gauge tells you and what a measured chain would read when diving at altitude.
2. Yes, the pressure of the atmosphere decreases as you ascend. Divers returning to the surface are exposed to somewhat less pressure than those diving in the ocean, and this should be taken into account when planning altitude dives.
3. No, the weight (and pressure) of water is for all practical purposes constant until you get much farther from the surface of the earth than you can while diving.
4. Again, don't think about whether your gauge is correct or not. Think about returning to a fractional atmosphere (say, 9/10s) after diving. The difference between the pressure of dissolved nitrogen in your body and that of the pressure of nitrogen around you on the surface is somewhat greater than it would be had you done the same dive in the ocean.
For that reason we add a "depth correction" factor to our dives. For instance, if I plan to dive to 60 feet in a lake that's at 2000 feet above sea level, I will plan it (look up my max no-deco time on my tables) as though I were going to go to 64 feet. So my no-deco time is shortened somewhat.
I can look those correction factors up on the
Navy's altitude correction table, or if I have a dive computer I can just make sure it knows what my surface altitude is and then let it do the math and tell me my new no-deco time limit.
Hope this helps,
Bryan
PS. For much more on this subject
8th Element has a good article and good links.