Engine shuts off when idling

I have the vehicle listed above with low miles (the person who I bought it from had the motor and transmission replaced) at a red light or stop sign or at a low idle (and sometimes when I'm turning a sharp turn in town going slow) she shuts off. I can put it in neutral and rev my engine until light turns green and quickly put it back in drive and quickly press on accelerator and go and then she won't shut off. She starts right back up pretty much every time. And she has to warm up before shutting off at an idle. She runs fantastic on the freeway. She loves it. I just want to figure out issue before my car turns off during a turn and my power steering is no longer there because it's electric and I crash my car or hurt someone. Scary. I also have blinker problems. It was weird first it was a random my blinkers working or not working then I would have to use my blinkers manually then they didn't work then they did work but only the front and side blinkers - not the back blinkers. But I would have to do them manually (by keep clicking them until I do the turn).

Also is there a way I can replace my ignition? Without having a key for it? I recently lost my only key and I need to just put a new ignition with a new key in it can I do this without having the key to the ignition in it already?

Please help! Thanks everyone!

-- Jennifer