Thanx, but i tried this already. Nothing. And i do not power up the phone in the same time. Phone is just on costantly.

I thougt, maybe when i send AT, phone answers OK, but pic does not capture it (for whatever reason). So i changed to atd **********, because even if pic is not capturing the answer, phone should react (dial given number).
I started yesterday to build new cable, just typical 3 wires based on standard MAX232. Let's see what this will give. I will test it with the phone--->pc connection first, and than test with pic. And if this doesnt work, i should consider direct connection from pic to phone without max232 but just trough 1 kOhm resistors. Shall i send in inverted mode then?

And i measured voltages on the original cable, both form the phone's side and rs232 side. Cable was pluged in the phone and not in rs232. I can give them here, if somebody is interested. It seems, that phone is powering the cable's logic.