Agree, attaching the breather tube from the aircleaner box isn't going to make your 5-year-dead scooter come alive - but it will get rid of that noise, most likely.
First - I'd get a d__n good battery.
If I had a weak spark I'd check the plug and coil and all their wiring and connections and battery ground connection.
If I had a dribbling, not spraying, injector I'd look at cleaning the injector, buying good used injector, and/or check the output of the fuel pump.
If I had some compression, but not a "hurts the finger" compression - I might suspect that some previous person has screwed up the valve lash settings....because you do not have enough miles to have a ruined engine....so I'd check the valves for proper gapping.
If have have a properly spraying injector giving fuel in the cylinder chamber, a strong sparking & properly gapped CR7HSA NGK spark plug, compression...and still no starting....What would I do?
I'd buy the cyclepedia service manual for the LIKE200i and start a service ticket with their technicians.
Stig