On your engine the impulse feed goes through the carb manifold then into the fuel pump in the carb.
It was an illustrative example .
On your engine you a fuel line and a return line.
The fuel supply line has thicker walls and goes on the barbed fitting.
The smooth fitting is the return line and is generally a smaller diameter tubing.
Diagnosing small 2 stroke hand helds over the web is near impossible, in fact it is hard enough when you have them in your hands.
Right now I have a K970 saw that has been in the shop for 5 months which is busting my balls and I have that, on the bench, pressure testers , compression testers , ignition analyser, even popped it on the silly scope to check the wave forms of the spark and I still can not get it to run properly so don't expect any one to work miracles on line.
Your engine is a vertically split one so the seals should just push in from either side.
However without seeing , hearing, feeling & smelling it working out what is wrong is a little difficult.
When the magnets in the flywheel get weak or the insulation on the ignition coil breaks down they can be a bugger to start as well as you don't get enough spark to fire at cranking speeds.
You did not give us much to work with but from what you stated, seals or impulse line would be the most likely.
You could check that the 2 bolts holding the carb in are tight cause they will cause it to run lean as well & be a bugger to start .