Nissan Repair: Keyless remote, interior illumination, infiniti q45t

Question
I purchased a 1999 Infiniti Q45t a year ago but not from a Infiniti dealer. The car is in great shape, but I started to notice sometime later that you have to be only a couple feet away from the car for the keyless remote to work.  Still then it is limited to functioning only from certain angles near the car. I replaced the battery but no difference. I find myself walking around the car to get it to catch and work. Are these simply symptoms of a worn keyless remote. If so, would it be cheaper to install a after market alarm/keyless remote instead of purchasing a expensive new remote and programming from a Infiniti dealership.

Answer
Jett,

I think the remote is going out and not the body control module.  You could purchase a new remote and program it yourself using the following instructions from infinitihelp.com

To reprogram (enter new ID) key fob (keyless remote controller) follow the steps.
1. Close all doors and lock all doors
2. Insert and remove the key from the ignition key cylinder more than six times within 10 seconds.
   (The hazard warning lamp will then flash.)
   NOTE:
   Key should be withdrawn from ignition key cylinder completely each time.
   NOTE:
   Do not rush the insertion/removal key cycling process. The side
   marker/tail/license lamps and interior illumination will flash twice when this step is
   accurately completed.
3.  Insert key on ignition key cylinder and turn ignition key switch to "AAC" position
    At this time, the new ID code is entered and original (previous) ID codes are erase.
4.  Press any button on the new remote controller once. (The hazard warning lamp will then flash)
    NOTE:
    Do not press the button more than one time in the above step. If the button
    is pressed more than one time, the programming procedure will not be successful.
    The side marker/tail/license lamps and interior illumination will flash twice when this
    step is accurately completed and programming is successful.        
               If there is only one remote controller skip  step 5.
                5. Additional  ID code entry
                Release the door lock, then lock again with door lock/unlock switch
                (In power window main switch)
6.  Remove key from ignition
7.  Unlock driver side door, open driver side door and then close the door. (END)
    NOTE:
    If you need to activate more than two additional new remote controllers, repeat
    the procedure on step 5 "Additional ID code entry" for each new remote controller.
    NOTE:
    Entry of maximum four ID codes is allowed and any attempt to enter more will be ignore.