You can apply through EE using your LMIA if you already IELTS. Irrespective of your experience you should be able to an invitation as you will be awarded 600 points for your LMIA.
Please do not misguide others, if you're not sure of something better leave it on someone else. You need to be eligible for either FSW/CEC to claim 600 points. One cannot claim these points irrespective of their experience.
You might claim points for your back-home experience/foreign experience as long as it was for a year. There are several other factors that you should meet too, which you will come across on the link provided earlier.
By 'present' if you mean your job while you were in study permit, you cannot claim any points on that experience. Period.