The engine alternator, the shore power & generator via the converter do charge both the house and engine batteries.
For the shore and generator power via the converter, the house battery is primary 1 and the engine battery as pri 2 once house is charged.
For the alternator, it also does both engine and house batteries, but may be at the same time.
And, yes, the house batteries will start the engine via toggle switch on the dash and vise versa for the generator.
If your engine battery is draining down that much in 5 days, you need to fix (my opinion) the root cause and not look for Band-Aids. Either something is "ON" or "drawing power" that shouldn't be, your battery is bad or it's not being charged properly.
Mark
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2021 Precept 34G, Brevard, NC
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