Ah, good, you're walking distance to most of those things. Strictly Discs is a couple miles away but doable but you might be busy enough between the other record stores.
Food near the Overture Center/capital area:
Merchant, right off the capital square, is great and affordable for lunch. Fried chicken sandwich is so damn good. Good but pricey cocktails, too. Never been for dinner.
Restaurant Muramoto has really good food - Asian fusion mostly, but also great sushi if you're into that.
The Old Fashioned & the Great Dane are both serviceable brewpubs. The Old Fashioned has 40+ local brews on tap, though the wait can be awfully long for dinner. Great Dane is also a brewery, some good ones there.
Natt Spil is my favorite place for drinks in that area. Cash only. The Paradise Lounge is a pretty great dive bar, very cheap, and they've got good food. Genna's is not really noteworthy except that they have a decent-sized patio area.
State St. has City Bar for drinking (and decent food, too), Himal Chuli for Nepalese food, and lots of other shops/bars that are just OK. B-Side and Earwax are right on State.
Enjoy your trip! I'm out of the country next week, otherwise I'd offer to show ya around.