When I ssh into it, it instantly drops the connection. When I hook it up to the monitor it accepts my login, shows the last login time (about 30 seconds before this attempt) the kernel version, the copyright, and warranty information, and then it instantly dumps me back to the login prompt. I've tried power cycling the pi and I get the same response.
Is ssh enabled on your pi? You may have to enable it in the raspberry pi configuration or raspi-config. If it is enabled, then do you have a firewall running on your pi? Sometimes firewalls on raspberry pi's will disable ssh. If you turn off the firewall temporarily then the problem may be solved. Hope that helps you. :)