The public bus from Torrevieja to Alicante cost 4,5 Euro and from Alicante to Calpe 7,25 Euro. Do not expect the drivers to speak English:)
Calpe is a very beautiful small town surrounded by water.
You can swim in the Mediterranean, watch flamencos in the salt lake or hike up Penyal d’lfach.
I recommend that you leave town no later than 8 am to avoid the strongest heat. It takes about 1½ hour to reach the top, and you should not do it if you are scared of hights or if you have bad balance.
As you leave town watch how the sunrise reflects in the salt lake.
You will pass the remains of Medieaval Calpe
Though I saw children on the top, this hike is not for all
As you might notice, the road is quit invisible (if you look well you see hikers on the photo)