I know this is an old thread, but I thought I'd add additional details after doing this over the weekend.
The spring in the remote inside door handle proved to be the biggest challenge to replace. To get at it I needed to bend back the 4 tabs that hold the top and bottom components together.
Cleaned up the components and wrestled the new spring into place while putting the two plates back together. The next challenge was to peen the four tabs back over while making sure the two plates were parallel so there was no binding of the mechanism. That took a few attempts to get it right. A little grease for lubrication, and I called it good.
Next up was the two springs in the door latch. When I removed it from the door I immediately noticed that the upper spring was broken. That could be why I had a droopy door handle. Soaked the latch overnight in parts cleaner while hoping that replacing the two springs in the latch would be easier than the last one. The biggest challenge with these is to get the latch situated against something solid to allow you wield the hammer and punch to open the tabs that hold the springs in place. It took some wrestling with needle nose pliers to get the old ones out and the new ones in. The upper one took two attempts to get the placement right. If you're doing this job, make sure you put the door handle in the latch before reinstalling it in the door to make sure it's working as it should. A little lubrication and I called it good.
Once I had everything reinstalled in the door it all seemed to work much better than before. The handle still droops a bit, but I'm betting that's due to wear in the square hole that the door handle shaft goes into the latch and wear in the slot the mechanism slides back and forth on. That's it for the driver's side. Now for the passenger side.