Car won't stay charged or start

With a new battery, and had a mechanic look at it, stays started barely if I don't stop the car could it have something to do with my fuses

try resetting security system then have battery tested including load test most places do for free. there is also a fusible link going to alternator that may have burnt out as well. see pic, however it may be a serial 2 data problem which a scanner needs to be hooked up. also it may be a draw on battery when car is off as well.

Thank you for your help, I did take it to my mechanic who confirmed it was the fusible link that blew it was a 200 amp fuse which are not very easy to just pick up at Store even after that the Fixx of that is still has the problems so I will go ahead and take your second advice and have the code read off the computer and will update you