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Yep. That sound on unlocking is the car just getting ready to be awesome when you start it up. Don't worry about that one.
The increased battery discharge could be a sign that something is indeed killing the battery when it shouldn't be, but I would not go there yet.
If the car is not a daily driver, long trips, etc so the battery can fully charge, it can get pretty weak.
start with charging it up with a battery charger using the terminal posts under the hood/bonnet of the car (not directly to the battery in the trunk/boot).
Troubleshoot only after you know you have a fully charged battery. You don't want to go buy a new battery then have it discharged from an errant electronic gremlin.
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