My iphone 4s won't work

First the apps would open up and then close themselves everytime i pressed on them, so i kept restarting it so it would start working again. Now it keeps going on the apple sign then the little loading sign comes on and it keeps repeating in that cycle, I have tried holding both buttons down however many seconds and its just not working! Is my phone doomed? Do I wait for the battery to run out or is it a lost cause? Also my storage was playing up telling me that I hardly had any space left and I kept purchasing things off itunes even though my storage was full. CAN ANYONE Please Help, IT WON't WORK

Added (1). Apps wouldn't open*

Pawn it in for an android

I can relate. I just do not do well with modern technology.
I ended up just about messing mine up completely, so a good friend hooked me up
with this company.
They were really helpful, and saved me so much trouble.

http://www.repairzoom.com/ipad-repair.html

Without seeing it its hard to definitively give an answer, I'll give various solutions and see which work if any.
First thing I would try is plugging it into your computer that you set it up from. It doesn't 100% have to be the same one, if it's not you will need to install iTunes and then plug your phone in and tell it to sync before you click restore. DO NOT CLICK RESTORE RIGHT AWAY because it will delete everything, although it can be the last resort if nothing else is working. That said any purchases you have made appear on your iTunes account and can be transferred back on without having to pay again.
You can also let the battery run out, depending how much charge as to how long this might take, and try turning it on again. But at a guess you're phone has effectively 'crashed' and might need a computer to sort it out. Worst case scenario if neither method works, take it to an apple store and they should sort it relatively easy.