Bear with me, I'm almost done.
I re-used your first bear fight since that luck manipulation was AMZING, even though there were a few lag frames when shooting the first enemies. I couldn't seem to beat your time there.
I got a much better manipulation with the second bear fight, it wasn't amazing, but it worked... It saved about 10 frames.
For the last part, I realized that it's faster to kill the swooping bird to eliminate lag before shooting the door, but I can't seem to open the door before I approach it. I'm 23 frames ahead now, but I think I can make that 26-30 if I can get the door open properly.
Edit: Eh, I'm done. 23 frames saved.
http://dehacked.2y.net/microstorage.php/info/4703/randil.fcm
If you want to try the door again, keeping in mind that you should kill the swooping bird, you might be able to save 3-5 frames there. I couldn't figure out how to do it, though. I could never seem to open the door fast enough. Maybe if you perform a calc equation of sorts on the swooping bird to find the optimal jump height and timing for the first shots, it'd be possible. :P