Hi,
to replace your battery you only need a 1/2 inch socket to remove the battery holder bolt which is located on the left side of the battery then loose the battery terminal and you ready to replace the battery, if you do a replace in less than 4 hours you do not need to reprogram the key neither the remote.
if you have the battery handy , replacing the old immediately should not alter the programming
the program will not hold indefinitely but replacing is a may be 30 second job and most key fobs hold the program for a minute
have you disconnected the wire to the clutch coil
if you have and it is still not free wheeling you have a bearing failure in the pulley on the compressor shaft
Firstly, I've never heard of a power steering system with a filter in it. I see no reason for said filter. And you never have to flush a power steering system. Any time I add fluid, I never use power steering fluid in a bottle that's labeled to be for that. It's much more expensive than transmission fluid, which is the same fluid. Unless of course these newer vehicles have added some things that really are not needed. Like a power steering fluid filter!!!! There's no such thing. Somebody correct me if I'm wrong, but you're going to have to prove it to me.
it will be better if you took help from the service and repair manual with diagram it will help you to locate and fix the problem by your own easily no need for a mechanin furthur so save your money and get the manual from the given link http://toolsnyou.com/