You can't update the phone until you follow the directions given: you need at least 3.57 GB of free storage. You will also need to connect your phone to WiFi.
I would recommend you update your phone by connecting it to a computer, backing it up and restoring it from the back up. That may help with your memory issues and updating from a computer requires less free space on the phone.
I'm inclined to agree with tonysit. Your phone is in desperate need of a new battery. Batteries should be replaced once they drop below 80%. Frankly, because of the small capacity, I'm not sure it's worth spending much money on this phone. But, if your only option is to replace the battery, start here:
iPhone Battery Repair & Replacement - Apple Support