Answer to "replaced my iPhone 5 LCD but now the glass is not very touch sensitive"Have you tried with another screen to see if you have to tap twice? or did you need to tap twice before replacing the screen? If no that it is likely a defective or slow screen and replacing it would solve the issue.
Answer to "new battery, new charge port, still not charging..."Sounds like this is water damage to some chips. Rice won't do anything to fix the device. It needs to be taken to someone who knows how to do motherboard repairs and the board needs to be cleaned in a ultra sonic cleaner with IPA or a solution. Then it needs to be inspected for damage and possible have parts replaced. Often however this is not cost effective for a device of this age unless the data is important for you.