2001 Mitsubishi Galant Loss of electricity to many circuits

I had a Alternator that apparantly was slowly going bad and during the time of reduced electricity back to engine and car, some electrical systems in the car seemed to stop working. I was told the computer does this to protect itself and keep the engine running. After replacing the alternator and the battery, these electrical systems still are not working. They are supposed to have power to them at all times. W/o the car running, they are as follows: No electrical locks, no dome light, no radio, trip odometer resets and no electric windows. A 10A fuse has blown in the engine fuse holder area associated with the radio. If a new fuse is put in, all the circuits seem to work for a few minutes and then something causes the fuse to burn out again and everything does not work again. Anyone have any ideas of what is common to all these electrical items and power to them? (Maybe something in the car's computer needing reset?) I see the electrical schematic in the Haynes Manual but don't see any overall common items.