My application was send to USCIS on 6th june - So will they only accept my application if they have still quota left on 6th June - or they will accept it withour checking anyuthing - and later they can send denial saying the quota is over - is this possible ?
If your petition reached USCIS on 6th June and the quota was open on that date, they will accept it - provided the petition is filed properly (with all fees and other required documents).
Hope that helps.