Answer: Plant growth is dictated by climate so if your strawberries are developing flowers, it means that daylength and temperatures are falling within the range required for the flowering process. Of course, real fruit development will depend upon pollinating insects. So, in mild climates it's not unusual for plants that normally bloom in late spring to develop blooms earlier than expected, and for them to produce fruit if insects are active.
I'd leave the blossoms alone - you may get a bonus crop from your strawberry plants.
Strawberry beds should be mowed down at the end of the season, to remove old leaves so they won't harbor insects or diseases over the winter months. New foliage will appear from the crowns of your plants the following spring. If you didn't cut your plants back last fall, cut the old leaves off now, to make room for new foliage and blossoms.
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