Welcome Wendy,
Majorica Pearls are imitation, man made pearls, not cultured pearls or natural pearls. Check out ebay for items similar to yours. Watch list them and see what they sell for. There are almost 200 listings, so you may find some pieces just like yours. They are collectible, and some women prefer to travel with imitation pearls rather than their "good stuff."
What do you mean by a full set?