You can use a pin leveller. I use a screeding trowel. Every bag we mix goes 3m2 ish so I know it’s about right.
We use carpet underlay and spray it to the floor or sand to block it.
If high we use plywood and silicone
Remove all the loose bits ,
fill in with ardex A46 or similar repair mortar which is a exterior version.
Then go over it overlapping onto the asphalt with ardex DPM1c
1965 but most houses before 1980 don’t have a effective Dpm under it so laying glue down LVT will stop the floor breathing which can cause damp. Test it and if it has moisture put a liquid Dpm over it.
1971 your concrete might not have a damp proof membrane ? Can you see any sheet around the perimeter.
any reason why you aren’t using a smoothing compound over the concrete.