Apple iphone 4s replacement?

My iphone has been acting up in normal cold weather in the morning the screen starts to bug out and i went to apple to get it replaced but they refuse to replace it since the headphone jack is tripped. How can i get them to replace under the warrantey without haveing to pay anything they already refused me twice and i thought about just getting a new phone because i can't deal with this anymore

Added (1). The thing is it has never been near anyplace that could get close to getting wet i haven't even dropped it in snow and this has been happening before a jailbreak i did so its not from that

In my opinion, I have always hated Apple. I have a Samsung Galaxy Showcase. The best thing to do is wait until April 26 when the Galaxy S4 comes out. It has sensors to move the screen with your eyes and wireless charging. The iPhone won't have these functions until later this year when they come out with the iPhone 6. They are just copying Android. BTW The galaxy S4 is considered the best phone ever, and it is not even released yet, causing Apple to release the 6 earlier than expected.

Apple will not replace or fix any water damaged or jailbroke iphones.
sell it for parts and buy a new one.