Instead of using a screwdriver as a pulling tool, you could try using an old fan belt. It doesn't scratch the parts as a screwdriver can do. When using a fan belt to assemble the springs to the hinge you need to think a little to put the belt in the right position, so you can remove it afterwards.
Fan belt? How's that going to work? Pull it?
BTW: A new coil spring will not fix a lazy hood hinge. Your rivets are probably worn out. A place like this can rebuild your hinges: