For one thing it's illeagle to posses the talon of an eagle in the united states. Sorry had to you know. lets see now if your car stalls when the A/C engages the idle is set to low. as for the positive post of your battery getting hot your starter is dragging ie: when the starter is supposed to kick out your's isn't kicking out after the engine starts. replace the starter and your problem should goaway.
Mickey-G TN
July 2008