How can i set up yhe way are displayed names in phonebook and call log

That's not the way it happens with mine , but if you want to know how to change the Name display setting , just go to the phonebook > settings > Name Display .
Just change it the way you want it. Hope that changes the log ,
Also if you have already done that , check and notice this , if you were using some kind of basic mobile before this phone , it could have saved its contacts in the sim card and therefore the last name has all the names ....
So just check and open any one of the contact and goto editing option and see if its having first name and the last name correctly input or not ....