While defining my own airfields in Custom Data Creator (PC version) there are useful text data available as "Remarks", "Caution", "Landing fee", "Operator". 
These data were displayed as Airfield Information in both: PC and Android version. That's a pity, that this functionality in present SkyDemon version disappeared. The text information about custom data airfields is not shown any more... Much work to collect data about airfields is wasted... :-(
Any idea how to show these data on the map in either planning or fly mode?

It's hard to answer either question without knowing more information. I would guess that your airspace is falling outside of the map display parameters, perhaps because of its vertical limits.