Actually there are a couple of good places behind the Pollensa Park. One is the Ikebana which does a great Sunday linch at 12 EUR & normally consists of calamares to start, paella for main along with wine, dessert etc. See
http://www.puertopollensa.com/ikebana There is also the Golden Lion which I've never visted but I hear it does the best spit-roasted chicken in the Port & also does a cheap Menu del Dia (set a daily menu) -
http://www.puertopollensa.com/restaurants_bars_cafes.html#thegoldenlion - so you do have a couple of options if you don't feel like walking into the centre.
We often walk along the beach road (from the Pine Walk End), have a drink at the Tamarells beach bar (only bar/restaurant ON the beach) & then turn up the side road nearly opposite to go to the Ikebana for Sunday lunch.