Best way to lay vinyl in this room
Do it properly, remove the worktop, remaing cupboards, then level the floor surface.

Put down the new vinyl in one piece where it will fit to the perimeter properly.

Refit the cupboards and make sure all are level and square. Then re-fitting the worktop will be easy.

I dropped a long worktop by 2” - made all the cuts after removing the top and it went back on with no problem. 

You get more issues by bodging one step then having to bodge the next and the next than doing it properly in the first place.