When it got below freezing no pipes froze except for my kitchen. The drain froze and the water froze. It's been in the 50's for the past 3 days the drain started working 3 days ago but all the sink is doing is let out a small drizzle, I let it run to see if it would get more pressure and it never did. The hot works on the sink also but with the same small drizzle! Please help! And I went to the meter just to make sure there wasn't any leaks and no water is moving at all in house, so no leaks

If you can get a drizzle of water to run and it drizzles for over an hour then your lines are not frozen. This could be a clog in your valve. Is it one handle or two?