Squealling sounds like a belt problem, is your Eagle like mine many belts w/ac or is it a serpine belt,mfg in or for CA.
Year of car, with or without a/c or air pump, would be good info for us to better help you?
Have you ever replaced your vacume lines, are they cracked rotting?
The stalling dying popping and no responce can be as simple as your choke not opening all the way to a vacume device in your airclear can, where air come in, there is a door that opens by vacumm as car gets engine gets warmer, its a real undetected part that can cause everything you are talking about except your squealling, here is a simple trick, to try its for only to check the stalling, dying, and not responding, part of your trouble, simply undo the wing nut top of your air cleaner housing, remove cover and air cleaner, put wing nut,top of air cleaner housing and filter in eagle or trunk, start car, hood open in park or N. if standarde-brake on, forget about squealling for now let run, when it warms up, look to see if chock openned if so press on gas see if it revs up and down, if so, close hood take for short ride, stop quick with it, depress from a stopped position down hard on gas pedal, if no problems look down the horn snoot of bottom of air cleaner where the flex hose comes in with outside air if do dose not open, the Eagle is starving for air, if choke does note open and parked test fail look at electric connection or if any moving parts on carb need to be freed or cleaned or oiled, in or on home page of forum select EPedia its a very tech packed area search stalling and such, there are prints pictures worded how to's not just fix but test to find the problem,
my offer of info while on the road, is a best guess on issues I have have with my eagles. Without checking something and reporting back results its hard to help you with detail given thus far, but its a start, OK Ken!