Do I have ptosis of left eye? I can tell that it feels heavy and can raise the eyebrow above the left eye independently

Yes it does appear you have left upper eyelid ptosis. See an oculoplastic surgeon. You should be candidate for scarless left upper eyelid ptosis surgery.

You do not have true eyelid ptosis, but you do have asymmetric tarsal platform show (the eyelid platform show is longer on the left side, which gives the appearance of a droopy lid).  This is probably due to a combination of bony asymmetry (your left brow is higher, which pulls up the eyelid tissue) and soft tissue asymmetry.  If an in-person examination confirms this, dermal filler can be used to provide some volume to the left upper eyelid and decrease the tarsal platform show, thus making the eyes look more symmetric.  

Thanks for submitting your picture.Yes, you have mild ptosis on the left and after your exam there would be a few options to repair.Best of luck to you.

Your photos show something I see commonly in my practice. You do not have true eyelid ptosis of your left upper eyelid.  The easiest way to determine this is to look at the distance between the eyelid margin and the center of the pupil. In the photos you have provided this distance is about 3.5mm on both sides.
What you do have is a small amount of eyebrow ptosis (droopy eyebrow) in your right eyebrow compared to the left eyebrow which leads to a difference in the way the eyelid skin folds.  There is more eyelid visible on your left side (what we call tarsal or pre-tarsal show) either because you have asymmetry in the amount of skin, or the way skin folds, the amount of volume/fat in the area, and/or from the eyebrow being higher on that side.
The way to deal with this asymmetry is best determined by an in person consultation. Sometimes adding volume to the eyelid in the form of filler can be helpful, sometimes surgical interventions in the eyelid skin can do the trick, and sometimes the eyeborw position needs to be addressed. Make sure you see someone (preferably an oculoplastic surgeon) who can identify these subtle differences and knows how to appropriately treat each one. Good luck!