After almost two weeks of seeking for solutions all over internet, the problem was solved. First of all there are no way to root without debuging off via odin o any other tool. All what you have, is just to look for your original firmware of the phone, and it supposed to be four file package.
Looks like:
FULL_CSC_I9105PXXAMC2_I9105POXAAMC1_I9105PXXAMC1_DBT.tar.md5
FULL_MODEM_I9105PXXAMC2_I9105POXAAMC1_I9105PXXAMC1_DBT.tar.md5
FULL_PDA_I9105PXXAMC2_I9105POXAAMC1_I9105PXXAMC1_DBT.tar.md5
s2ve.pit
In this case it was german phone so files end with DBT.
CSC - as CSC
MODEM - as CP or PHONE
PDA - as AP or PDA
and pit file for re-partition.
The name of whole package is GT-I9105P-DBT-I9105PXXAMC2_Service-Firmware.zip
For those asking for delete dalvik/cache/factory reset, the solution is - RE-PARTITION!
I used also option Nand Erase All, just to be sure I delete everything.
All other operations goes as usual in Odin.
I can't post links here, bat me mercy on those looking for solution for days and weeks long.
So here is link that I found on some forum that leading to (thanx Goshhhh!!!) to Google docs, so download was just 5 min. long.
Here is German (DBT) package, and some other usefull links. Use G. translator to understand.
h t t p : / / galaxysclub.ru/obzor-osnovnyh-funkcij-obsuzhdenie-i-reshenie-problem/2111-pomogite-s-i9105-proshivki-dlya-i9105 . html
Just remove spaces, where needed. This is a Russian forum. Respect and thousand thanx to Сергей, author of usefull post with links provided, once again THANX a lot, Sergej!