If they have ripened and are red- no they won't get any bigger and you won't get many in a small planter but on the plus side their taste is unique. Alpine strawberries aren't as sweet as the fruit from the usual strawberry plant's sold in most GC's and few supermarkets sell alpine strawberries to eat.
I usually eat mine with cream but was going to try smoothies, yohurts and strawberry cheese cake this year.
Although yours are grown in the sunshine, alpine strawberries will grow in the shade of tree's, some varieties are called perpetual because the plants in a bed, grown in partial shade, will fruit throughout the growing season.
Hope this helps.