The Daily Grind was one of probably hundreds of coffee-shops of that name across the country. Not that it was part of a chain -- it just seems to be a mildly clever name for a coffee-shop. I only stopped there once. As I recall, it opened when the concept of espresso drinks was pretty new, at least for those of us not in New York or the Pacific Northwest. (If you'll recall, in the terrible Bruce Willis movie Hudson Hawk they had to explain to the audience what a cappucino was). Certainly it was long before Columbia got a Starbucks. Frankly, I can't remember being either pleased or displeased at the coffee, and Rosewood was enough out of my Columbia haunts (which I was only hitting on weekends anyway as I was out of town at that point) that I just never got back. I'm not sure when the place closed. It's listed in the 1998 Bellsouth phonebook, so I'm saying early 2000s.
Compusouth I wasn't aware of at all. I have never had any luck getting parts at these small computer storefronts. They can fix your PC or sell you one, but if you want an EIDE controller or whatever, you'll have more luck at Office Depot. (I really miss CompUSA in Augusta which was very good for parts, Best Buy -- not so much). Again, I don't know when it closed, but as they haven't gotten around to taking down the sign yet, I'm saying late 2000s.
The place is currently a lacrosse equipment store. I didn't even know we had lacrosse players in Columbia..