The stuff looks okay. It looks like material from the krausen ring that may have been knocked off when you shook it. Drink your sample, and if it smells and tastes like warm flat beer, you're good to go. In my experience, if your gravity has finished dropping then your beer is done, especially with a low OG beer. I've repitched before when I was stuck at 1.020, and all it accomplished was wasting fresh yeast. Give it some more time, and if it's still 1.02, you're ready to bottle. You may have just created more unfermentables than you anticipated.
“For art to exist, for any sort of aesthetic activity or perception to exist, a certain physiological precondition is indispensable: intoxication.” - Friedrich Nietzsche