Star and Shamrock Tavern and Deli is the latest eatery to sprout up on H Street NE. Doors opened last weekend for a soft opening period, and the restaurant’s full menu rolls out tonight. Think deli with an occasional sprinkle of Irish/Jewish fusion sprinkled in. There’s a fried food-heavy appetizer menu, featuring fried kosher pigs in a blanket, fried pickles, fried chicken livers, fried matzo balls, and latkes all priced at $5. The matzo balls…