Chosen Solution

After a short drop my 5s was off and non responsive. Plugging it in to the wall results in a reboot loop. Occasionally the screen will blink red after the apple logo right before it reboots, but most of the time the screen just turns off and then it reboots. If I unplug the phone any time during the reboot process the screen immediately turns off. The phone does not attempt to boot connected to my PC, although I can get it in to DFU mode. I would rather not lose the non-backed up media on the phone, so want to try hardware repairs first. My first thought is a battery issue as it goes dark when unplugged (plus battery life has tanked lately anyways). Anything else I should check before opening it to check the battery connections or ordering a new battery?

try discoonecting and reconnecting the battery to see how it goes

Hi In Apple phones when u disconnect battery and plug charger then phone show boot up to Apple logo and then restart again and again. So in your case when you dropped your phone it’s look like that battery flex/cable got damaged and it’s same case now as I discussed above( disconnected battery) And u plug charger it’s goes to boot loop. Chances that battery is unplugged or loose connections is very low because it is secured by screws until someone opened it before and missing screws for battery. Best way to diagnose is to check your phone with new battery or test battery with multimeter whatever easily available to you. There are also chances that something wrong internally other than battery. In that case check first by disconnecting front camera and booting phone. If it works then need to replace front camera. Wrost case is motherboard itself and in this I recommend you to go for professional phone repair centre if u don’t have experience in fixing motherboard. I hope this will find you helpful. Regards and happy fixing Micky