I notice a mixture of metals in your plumbing system, that could be a longer term problem for electrolysis... are you circulating a glycol mixture? galvanized vs. cast iron vs. copper... may need to be isolated from one another. I noticed the copper plumbing pipes moving around a great deal in your video as well, that motion would likely need to be minimized to avoid future problems.
Your leakage around the engine can all be attributed to a very poorly sealed head gasket, but you will also want to minimize the pressure on your cooling system... maybe 5psi relief pressure would be a good guess. Normally these are hopper cooled (via convection) with only the gravity weight of your coolant involved.
How is your coolant circulated? Do you have a thermostatic control to keep the engine at proper temperature? These machines will slobber or wet-stack in most cases where they are run "cold". 180F is a good target running temp and in many cases they have been reported to average around 200 F or more under full load conditions.
So, in addition to solving the head-gasket leaks, you should add some instrumentation to understand fully what is going on with the system.
dieselgman