By car hire
To get to the apartment you can rent a car which is very cheap in Spain (cheaper than a taxi). Good sites for this are http://www.doyouspain.com or http://www.ryanair.com because they compare the prices of different firms. The insurance via Ryanair is also very cheap.
You can find very good tips in the case you will hire a car on
https://www.yourspain.net/alicante-city/alicante-airport/car-rental/
You can also take out insurance very cheaply at
https://www.icarhireinsurance.com/car-hire-insurance-products/excess-europe without a fixed amount.
If you rent a car, it takes half an hour for the administration and also half an hour for the luggage, another 45 minutes drive. We usually do it in such a way that one person goes directly to the car rental company and the other person is waiting for the luggage in the meantime.
Luggage collection and car rental are very close to each other. From the luggage, just go straight ahead and take the first right. There are no doors in between and you can walk and stare if you have to.
By personal transport
Stacey can pick you up in the airport for 45 EUR from Airport Alicante and for 35 EUR from Airport Murcia. After 23:00 hours till 7:00 in the morning it is 10 EUR more
By bus
From Airport Alicante to Torrevieja (45 min, 7 EUR)
Every hour ! Buy you ticket online.
First bus is at 8:00 and the last one at 22:00
Visit this website :
https://costazul.net/en/intercity-services or https://torrevieja.com/en/torrevieja-alicante-airport-bus-timetable/
Location Bus Stop in Alicante Airport

The express route, which connects Torrevieja town centre with Alicante International Airport, runs 8 return trips every day from Monday to Sunday, 365 days a year. The ‘shuttle-bus’ nature of the service means that there are no intermediate stops, and journey time is cut to under one hour.

The route is offered by ‘Autocares Costa Azul’, with timetables and tariffs available for consultation on the company website.
The service departs from, and terminates at, Torrevieja Bus Station. From here, it is possible to continue onto the various districts and surrounding areas of Torrevieja, such as, Punta Prima, etc. , via the various bus routes offered by Costa Azul. The bus station also offers a permanent taxi rank, stationed on the adjacent street.
From Torrevieja to Punta Prima (Rocio del Mar)
By Bus
There is a bus stop just in the near of the Residence Sea Senses in the Avenida de la Olas (400 m from Sea Senses)

By train
Not possible