Good news everyone! I bought new batteries this morning and opened the new fob once again. I noticed there was some light dirt on the battery contact points so I cleaned them off using 91% rubbing alcohol. I put in the new batteries and after pressing a button I saw the incredibly dim light flash! I followed the instructions of sticking the fob up to the rearview mirror and pressing a button and sure enough it now has control over my car. The car also starts up just fine with the new fob as well. I just used some Loctite universal glue to stick on the Chrysler logo, and also put some on the fob itself to keep it all together. Thank you everyone for the help and support! I really appreciate it.