Unfortunately . . . YES . . . not only is rice a starch it is one of the fastest digesting ones.
The faster your digestive system breaks down a starch into basic glucose, the more sugar rushes into your system and then the more insulin your pancreas puts out to bring the sugar level down. That is what makes you feel so hungry again so soon.
Try adding lots, and lots, of extra veggies to a smaller portion of rice to help slow down the process and keep you fuller longer. Increase the amount of protein in the meal, too. Protein really stays with you the longest (i.e., it's the slowest to digest).
Keep fighting the good fight, chickie . . . you can do it.
PS: At your height and weight, I think you could probably afford to add a couple of hundred calories a day to that 1300. If you cut down too far, you are bound to feel hungry and have difficulty fighting the cravings. You have to think 'lifestyle change' not 'diet'. And that means you have to find something you can actually live with, 'for life'.