I used actual QL maps (and other files) downloaded through their software, then I added the maps missed in the actual set (I don't know if they were updated since I had adapted them).
I replaced the Green Armor with the Yellow Armor on all the maps, as it is not supported by Q3A and Q3TA. I replaced the Chaingun with the Lightningun (and ammo too) on "Winter's Edge" map.
Other details of my work are described above.

That torrent file doesn't work. I have a slow connection, so this way is not convenient. You'd better use the latest links.

Sorry... As i understand there is a missing texture.
Unzip this file into this folder <yourQ3Afolder>\baseq3\qlmaps.pk3\textures\shw\

I tested all maps and i found some:

arcanecitadel: couldn't open file music\arcane_intro.wav
arkinholm: http://www34.zippyshare.com/v/28222007/file.html
basesiege: couldn't open file music\fla_mp05.wav
battleforget: basesiege: couldn't open file music\fla_mp01.wav
blackcathedral: couldn't open file music\fla_mp05.wav
cliffside: http://www46.zippyshare.com/v/49418303/file.html
courtyard: couldn't open file music\fla_mp04.wav
delirium: could not find sound \ambient\loop_wind04.ogg.wav - using default
distantscreams: http://www46.zippyshare.com/v/46657577/file.html
falloutbunker: couldn't open file music\fla_mp04.wav
hellgateredux: http://www34.zippyshare.com/v/75485105/file.html
houseofdecay: couldn't open file music\fla_mp03.wav
innersanctums: http://www46.zippyshare.com/v/20953424/file.html
jumpwerkz: couldn't open file music\fla_mp04.wav
limbus: couldn't open file music\KingDK-Limbus_Intro.wav
mcsarges: after 2 seconds of being on this map, the game just kicked me to menu with the message like: HUNK_ALLOCATETEMP MEMORY: FAILED ON 23034432. It was few times in a row, the game was laggin, well i think maybe this is because my laptop? It's not strong machine, hmm dunno.
overlord: couldn't open file music\fla_mp05.wav
qztraining: cound not find sound/feedback/welcome_02.wav - using default
rebound: couldn't open file music\fla_mp04.wav
repent: couldn't open file music\fla_mp04.wav
sacellum: couldn't open file music\fla_mp02.wav
scornforge: couldn't open file music\fla_mp02.wav
siberia: couldn't open file music\wind1.wav
silentfright: couldn't open file music\fla_mp05.wav
silentnight: http://www46.zippyshare.com/v/54869679/file.html
superspace: http://www46.zippyshare.com/v/10318784/file.html

I had in my baseq3 only pak0-8 and qlmaps.pk3.

About for example cliffside map. Of course if I will add to baseq3 ql.pk3 these all missing textures will disappear, but I think the best idea would be to add this ql.pk3 to qlmpas.pk3 to complete this without such problems like this. Or just it can't be done in that way?

I think it works, no message now, but the game turns off automatically after few seconds of being on the map. I think my laptop is too weak. I can't even play Quake Live anyway, cause of very low fps there so i think that's why. Thanks for help.

I did like you said. The game still kicks me to the desktop. Maybe someone else should test this map, but i'm pretty sure it's beacuse my weak equipment.