If your 310xt won't display anything when connected to the charger, a battery replacement will not fix it.
If you damaged your display, I will replace the LCD for you.
Used but in good cosmetic and working condition. Includes the clear plexiglass screen. There may be some scratches, but viewing area will be in good shape. The rubber buttons may show some signs of wear, but will be intact and not leaking. I will send the best cover I have in stock at the time of shippment.