[JRTJH]

There probably in no check valve in the water system. By "no water at the kitchen sink" I suppose you mean hot and cold sides ?? If so, and if there's no water flow with the aerator removed from the faucet, then I'd guess that you've got some "failed pump debris" that flowed through the lines and is "damming up the inlet connections" on the bottom of the faucet valves.

As Marshall indicated, it takes "a long time" for water to flow through the entire system, so make sure to "just let it run" for a couple of minutes before "tearing into things to clean the valve seats."