Look inside and make sure there is no debris in the charging port. If there is use a can of compressed air to clean it out. Just be sure to use computer cleaning air so that it is free of any moisture. And keep your face clear, or better yet wear safety glasses! If the port is damaged you can get a replacement. http://www.amazon.com/gp/aw/d/B00CGAC3X4...-3&pi=SL75_QL70&keywords=p7500+ch... Follow this guide up to step 4 and disconnect only the left cable in the picture that goes to your carging port.
Conceivably you could replace it, but a Google search for "LG optimus 2 parts" only showed me results for the 2X. And a YouTube repair video (also only found for 2X) showed the led mounted on the motherboard. So it may be a difficult part to locate.