You only need to do one coat of liquid Dpm.
Fill the hole in with sand and cement on a visqueen sheet lapping up the doorframe.
Get it close the height of the main floor.
Let that set.
You could use a builders rubble bag. Done it loads.
It’s to stop any water / moisture getting through under the door frame.
Any moisture tolerant compound is fine. Not sure who you spoke to at Mapei as their na is and can go under liquid Dpms.
I do my way as it dries quickly.
best way would be remove all that old Dpm
Then put some visqueen sheet in and lap it up the door. Then fill in with the Mapei na and granno chips.
I’d then Dpm over all that with an epoxy Dpm but you could just screed it all with the na then use a decent underlay with taped joints.
When fitting loops you use a square / combination square to make sure the loops are straight. The fitter hasn’t done that as it’s running out. If you cut the sides with a loop pile cutter it’s a lot easier.