But hwaa mention their is not more than 2 year contract beacsue they don't want to any right of employer as well as employee
I am not sure what you were trying to say here, but you should be alright if you are wondering about your eligibility as AINP. Well, at least AINP SRS Post Graduate category does not specifically look for 'Permanent' full-time worker. However, things might get complicated if you term is too short as you need to be working full time during the process.
The agreement won't have end date to it if your position is permanent. It will list out your salary (or wage), hours, responsibilities and etc.