You can use a very lightweight fusible interfacing to back the satin, but as mentioned, use a low temperature, very thin pins as satin shows the pin holes and also snags easily. A double stick washable basting tape also works for these seams. Just make sure to NOT put it where you are going to sew. It gums up your needle and machine.
I agree with the others that if you take the time and be patient, the satin would add some nice bling. But, you should also know that satin wears out more rapidly than cotton. After a number of years all the satin places would be worn and frayed but not so much the cotton. The interfacing helps with this and also with the fraying edges.
Good luck!