For night life, you're going to want to head to Elm St.

Cocktail bars: Industry East (intimate, hip, expensive) or 815 (a speak easy concept - you'll need the password from their facebook).

Shaskeen is a great Irish pub, if you just want to grab some beers and a burger in a relaxed atmosphere I'd go there.

Bonfire has a younger/rowdier crowd. It's a country bar, they have games like cornhole and giant Jenga.

If you're looking for something to do with a group, definitely check out Granite State Escape (escape rooms) and Boards & Brews (board game cafe/bar).

My favorite restaurant, Mint, is unfortunately closed due to a fire. But The Crown Tavern is the also great - only open for dinner, so get lunch elsewhere. They do $1.25 oysters and shrimp, I think Mondays?

Further north on Elm Street you'll find Elm House of Pizza which is my personal favorite pizza place in the area. They have excellent food and a great bar. Incidentally it has the same owners as Mint.

If you're a brewery person you'll have to get off Elm, but we have some good ones. Candia Road Brewing, To Share, Pipe Dream, Long Blue Cat, 603, Great North. I don't personally like Stark Brewing's beer but I do enjoy going to the bar there (used to be called Milly's).

Others already covered the museums and it's probably not the right weather for hiking. This time of year is pretty short on stuff to do outside of eat and drink! If you're looking for something specific, ask away and I can probably help. Been here my whole life and my wife and I get out a lot.