Hi John, Janet - looking forward to seeing you, albeit for only a day. Here's a brief guide to East Tokyo.
See this annotated Google Map. I tried to mark everything below on it.
Your hotel, the Abest, is a "business hotel" in Kyobashi. Business hotel is code here for "functional and basic". When I stayed there in Feb, it was typically clean but cramped, but the duty manager spoke good English and I thought the shower and bed were pretty nice, and wifi worked fine too. I ate breakfast in the Ginza, but the hotel did have a breakfast option. There are several "combini" convenience stores near the hotel, and you can get drinks and meals there. Typical ones are Lawson, 7-11, Family Mart, Mini-Stop. Quality is high at the combini here, so there's no worry about getting ill like you might from a 7-11 burrito in the US.
Kyobashi is east of Tokyo station, extending down to the Ginza area. You can get the Ginza subway line at Kyobashi station, and take it south to the Ginza area, or even further all the way across Tokyo to Shibuya in the South West. Or, take it north to various stations to see Muromachi (Mitsukoshi mae station), Akihabara Electric District (Suehirocho station), Kappabashi Kitchen Street (Tawaramachi station), or the "War temple Sensoji and its lightning gate" at Asakusa (Asakusa station).
You can get on the Asakusa subway line and go one (?) stop to the big Skytree tower. There's a neat long and skinny park extending down from the SkyTree area to JR Kinshicho station. If you like, from JR Kinshicho you can get on the JR Yokosuka line and go back to JR Tokyo. Be sure to get on the train going toward Tokyo, Yokohama Zushi, Kurihama, Yokosuka, not the other direction because that takes you out to Narita.
There's a ton of shopping and eating in Ginza, Kyobashi, and Tokyo station, and I marked a few spots. Let me know if you have anything specific you want to eat or buy.
Tokyo station has a massive underground area starting on the "Yaesu" east side, extending under the station over to the financial district "Marunouchi" west side. If you're interested in Japan crafts besides pottery, the "Kitte" building at the south-west corner of Tokyo station is good for that, as is the Muromachi area at Mitsukoshi Mae on the Ginza line.
There's a 5km (~3.1mi) route around the imperial palace, which a lot of people jog because it's uninterrupted. If you go there, you'll probably see people jogging so you could just go with the flow.
The "International Forum" west of Ginza and just south of Tokyo station is cool architecture. It's like being in the hull of a giant ship. Speaking of Architecture, somewhat near there in Hibiya is the old Imperial Hotel, which was designed by Frank Lloyd Wright. Apparently the hotel was opened the day before the massive quake in 1923, and it was one of the only structures to survive it. Some of his work is still visible in a cafe there.
On the east side of Ginza is the old Tsukiji fish market, which is pretty interesting. The main market now is in Toyosu, a bit farther East, but Tsukiji had that role until a few years ago when they opened the new one. Tsukiji's worth an early morning visit, I think. Seafood there is as fresh as it'll get.
The area along the tracks between JR Yurakusho just west of the Ginza, and JR Shinbashi, then again just west of JR Shinbashi, is all cheap drinking spots. There's a fun one near the Imperial Hotel called "Lorelei", which is downstairs on floor "B1", one below street level. It's a german beer and food and singing bar. Cramped little place that holds maybe 10 people but a lot of fun.
Be sure to see the B1 or B2 floors of major department stores. These are where they sell various foods and souvenirs. It's an experience in itself, just to see it. They really have everything. Matsuya in the middle of Ginza, or Mitsukoshi main store up the ginza line to Mitsukoshi-mae are prime examples, as is Daimaru, on the Yaesu side of Tokyo station, right there at the entrance.
A tip, get a business card from the hotel so you can show it to a taxi driver just in case. Note that the subways stop after midnight, then there are queues for taxis. It's basically a walkable city though, and except for a few areas, it's basically safe.
Regarding emergencies, there's an English speaking international clinic on the east side of Tokyo station, the Yaesu side, right across from the Yaesu bookstore. There are also some pharmacies in your hotel area as well, which I'll mark on the map.