In reply to sarahkeast: A walk / run up Olta (behind Calpe) is really nice, great views and straightforward paths to follow.
The Bernia ridge if you like scrambling. It's fantastic. You'll need a rope & 10 quickdraws for it, a couple of abs on there too.
Climbing: Sonjannika on the Moraira sea cliffs is amazing. Straightforward walking approach.
Hope this helps
Mark