ok

if you mean the advanced ones, then not really

game doesn't save their locations,
which means that I would have to save their location somewhere somehow and then each time game starts first read file with locations and then load the teleporters 1 by 1

I never messed with saving lots of stuff and it sounds like a pain so I prefer to avoid it ;D

each time you load a world, Teleporters out of the loaded load don't work till it is loaded. if you have a Teleporters in the lava caves, you have to go to it befour you can use it. can you fix that so that you can use it without having to go to it 1ST?

I don't understand question o_O

how about Teleporters that don't need you to find find it each map load to use them? that is old as all hell.