vortec02

i have an 06 ltz and had a funny thing to ask about never did it before but left it unlocked and found it locked HMM? didnt think anything of it so driving home last night and heard the doors keep trying to lock when they were already locked got home and kept unlocking the doors and they kept lockin on ther own i did notice the battery in the remote seems to be dying could this have something to do with it? so i pulled theft fuse power dor lock fuse and keyless entry fuse they all looked goodsince ive pulled all 3 and put back in i havent noticed it doing it if it is a problem with the car and not the remote would it be in the power locks, keyless entry system or the security system? any simalar issues?