Kitchen valve stem seems to be stripped?
Unfortunately most valves used today are made of plastic that only look like metal on the outside. Sounds to me like you and I live in the same house. I have to replace four different shut off valves because they are stripped. I am working on the kitchen one right now. Stripped Valve with no cold water and very little pressure in the other valve. If you ever have one replaced by a plumber, insist on all metal valves. I will physically inspect them from now on before they replace them. Once stripped nothing you can do but put a new one on.
pull off the handle and try and turn it with channel locks or pliers, and remove the aerator screen and clean it. its very common for them to get plugged up after you turn off the shutoff valves and reopen.