Microsoft SharePoint Server Remote Code Execution Vulnerability

I am running SharePoint Enterprise Server 2013 Service Pack 1. Do I need to install both updates that are listed for SharePoint Enterprise Server 2013 Service Pack 1?
No. The Cumulative update for SharePoint Server 2013 includes the update for Foundation Server 2013. Customers running SharePoint Server 2013 Service Pack 1 can install the cumulative update or the security update, which is the same update as for Foundation Server 2013.
Please note that this is a clarification of the existing servicing model for SharePoint Server 2013 and applies for all previous updates.

According to the CVSS metric, privileges required is low (PR:L). What does that mean for this vulnerability?
The attacker must be authenticated to the target site as at least a Site Member.

How could an attacker exploit the vulnerability?
In a network-based attack, an authenticated attacker, who has a minimum of Site Member permissions (PR:L), could execute code remotely on the SharePoint Server.

Security updates
16.0.5369.1000 — https://support.microsoft.com/kb/5002305
15.0.5501.1000 — https://support.microsoft.com/kb/5002302
15.0.5501.1000 — https://support.microsoft.com/kb/5002303
16.0.10392.20000 — https://support.microsoft.com/kb/5002294
16.0.15601.20238 — https://support.microsoft.com/help/5002296