Portugal - Algarve

So I was in Portugal. Arrived in Lissabon by Plane. in Lissabon are 2 different Fares avaiable:
1) a Oneway with an RFID Card
2) a Recharchable RFID Card The Card cost 0,50€ + 3€ Recharch

The Airport Bus to the Longdistance Bus cost 3,50€ onboard and there is an discount for Online Tickets.

So back to the Railway. The Major Problem is there is no real connection on the Algarve between the Public Bus and the Train.
I try to get by Train to my Hotel but it was impossible. The Long distance Bus from Lissabon Sete Rios to my Hotel was just ~18€!