In the walking distance there is fiew options to chose the restorant.
From appartment Cezar, the first option for restoran is in Banjole. To Banjole, by walkng track near the coast, there is 10 min of walk. if you follow the map that is linked you will find in Banjole restoran Vala (La Gondola d'oro) , Teza and Batelina. (for each restoran, click on the name to get the road direction's)
Restoran Bateina I recoment for the fish menu, and also to make telephone reservation for the table.
In entrance to Banjole is great restorant Ancora, for cevapcici, or some pasta. HERE are direction.
For walk to Pjescana Uvala you need about 40 min over the walking/bike track. You will find beach bar and resotorant's near the wather. HERE are direction's.
On 10 min of walk, on 1 km, on the main road you will find Restaurant Navetta.