the engine needs to be turned over until it is at top dead centre to check the valves
take the sprocket cover off and the cam cover off.
there is a tdc line on the flywheel infront of the sprocket, that needs to be at the top.
it lines up with a mark at the top of the case.
then at the camshaft there is a marking on the gear, that should be pointing at 9 o'clock in the head.
that is TDC.
the hesistation could mean it has a blocked, or partly block Pilot Jet.
the carby will need to come off, and the fuel bowl taken off.
the Pilot Jet is the smaller one on the inlet manifold side of the big central Main Jet, it is down in that alloy tube/tower
if you unscrew it and take it out, check that you can see though the middle of it
poke a strand of wire through it to make sure, and blow it out.
also where that Pilot Jet screws into, at the bottom of the hole, there is a tiny hole which you should be able to see through too.
if either is blocked, it will cause a hesitation, and want to hesitate/stall every time you go to accelerate