Second batch, third, etc. Drexel probably placed several orders over the year after the first large shipment. As for PC or Mac, they went both ways. There are also pics at Drexel of Mac Pluses coming in, many of them. The branding was done by the university itself as they did with any computer equipment. Many were done on the front to emulate what Apple did, but some are on the back. Yours looks well done, some are more aggressive. My High School did similar branding to electronic equipment.
The difference is most of the silkscreened ones went to students. But the branded ones were only used in house and branded that way as university property. A student would get an unmolested Mac. And many of the branded ones have asset tags, if not removed at some point after the Mac was retired.