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Does not manage programmed altitude contines to rise

Not sure what you mean by this. Is this the Cruise Altitude, or an altitude constraint before Cruise Altitude?
The 777-300ER always holds the cruise altitude for me, not sure of altitude constraints in SID's/STAR's, so I use the altitude to hold those (i.e. if the altitude constraint is 6,000, then I set the altitude to 6000, that way it doesn't climb above 6000ft).
I can't get it to follow the descent path after reaching TD, but that also applies in the 747-8i.


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FMC cannot re-enter the correct parameters of the 10° flaps imposed instead of 5 or 15

The 747 doesn't have a 15^o flap setting, so therefore the 777 can't set it at that either due to using the default 747 for all those systems - "Essential functionality paired with default 747 (must be installed) systems simulation"


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APU start and APU Gen does not need to start the engines before the push.

Maybe if the external air/power is available, that's enough to provide generator power for engine start (I don't know how to get rid of those - ground services has no options to remove it (that I know of)).


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The vertical stabilizer is permanently oriented to the left or right, which causes the aircraft to tilt to the right or left

https://www.captainsim.org/forum/csf.pl?num=1621514100 take note of replies #2 and #5 for solutions.