If comfy doing so, pull the Romex off that K&T, put in a junction box (You can use a regular switch box with a blank cover) and then run the same type of Romex continued back to the panel and a 20A breaker of its own. It looks like 20A Romex, so make sure the circuit breaker and outlet match. Since it's in the kitchen, it should be 20A circuit, so you're part of the way there already. As to the rest of the K&T, unless you really know what you're doing, you just might want professional help.