Last weekend my battery died completely and I was unable to even open the door with the remote.
AAA jump started the battery and all was fine.

Today I open the care with the remote lights work, ect but the car wont start just hear a clicking sound, no lights were on.

Now to my question

The center light that usually comes on when the door is open doesn't come on but the same light works when you push the button.

The door open/close feature doesnt seem to work, could this be draining the battery?
No matter what postion the switch is in it doesnt turn the light on when the door is opened

 

Did you check to see if the battery was holding a charge after you jumped it? The last time this happened to me, it was due to a cracked terminal. The alternator wasn't the charging the battery properly since it was cracked.