"will it cause any confliction?"
There can be only one cookie with name X.
If you create a cookie 'X' with value 'bla' and create a new cookie 'X' with value 'boo', the second cookie will overwrite the first cookie, and you will only see value 'boo'.
"Now, i can create session at my server, but can't create any value via cookies. Any possible cause for this?"
Make sure that you always send the PHPSESSID along to the next page. The simplest way is to use cookies. There is a setting in php.ini to enable this, check the PHP manual.