Yes, you can publish both! From the Composer window, drag and drop your media directly to the dashboard:

Media Library

You may also click the Attach Media button to open your media library:

Attach Media

From your media library, you can publish images and videos you've already used in other posts, connect external OneDrive, Dropbox or Google Drive folders that have media in them, or upload images and videos from your computer or directly from a URL. 

For videos, we currently support MP4, AVI and MOV files with a 10MB upload limit per file. If your file exceeds 10MB, we recommend uploading your file using Dropbox, Google Drive or One Drive. Click here for more information on connecting external media folders to Social Report.

Media Library
Media Library

When uploading images, there is also an awesome image editor built by Adobe Creative Suite built into Social Report enabling you to add watermarks, enhance images, apply effects, rotate and crop images, add text and turn images memes, and so much more!

Photo Editor

Once you have decided on an image or video you'd like to publish, click on it and then click Select.

After clicking Select, you'll be taken back to the Composer window where you can continue with constructing and publishing your post!

Here is a short video covering publishing videos as well: