The seals would have to be pretty bad for it not to start.
A victa with a warped head or dud decomp will still sometimes start provided it not a huge huge leak, If it is they usually pop smoke and flames out the offending orifice.
With the plates in the carb.
The furtherest one in is the throttle plate, full noise is full open.
The outer one is the choke, full open is choke off, closed is choke on.
They both have their own function.
To break it down.
Carbs start with the fuel in the bowl.
As the air goes through the carb due to careful differences in the size of the bore etc in the carb it makes different pressures and the air sucks fuel out of the bowl through jets up into the air stream. There is also an air passage into the fuel bowl before the throttle plate, so in the fuel bowl is a higher pressure than after the throttle plate.
Its the same deal as how an aeroplane wing works but inside a tunnel with a bowl under it.
Then the air and fuel ratio needs to be right. Thats done with the jetting in the carb. The first thing that affects jetting is the fuel level or float height. This needs to be right. Its all working on pressure differences. Liquids do not compress, air being a gas does.
The throttle butterfly controls how much air can flow through and that controls the engine speed.
So the first thing you need to be sure of if you have had the carb appart is that the fuel/float height is correct.
On a two stroke if you have the oil in the fuel ratio way wrong that effects jetting too. Its burning fuel to run. It burns oil as a by product of how its designed. If you have too much oil you do not have enough fuel. If you have not enough oil you have too much fuel. Not as important with a mower as it is with a high performance bike but it is still relavant.
Given what you just said in the post above. Whats the story with the plug? Id suggest you try two new ones.
Some plugs look good making spark outside the motor. Stick them in a wet damp hole at 6 or more times atmosphere and they dont want to play the game. Ive had new plugs out of the box that dont work.
Ones that look good out but dont work aer usually those cheapie mower shop/part brand type ones and some champion, im not a fan of champion plugs.
To be sure its getting fuel and work out if its lean or rich on the fuel, get a teaspoon of fuel and put it in the plughole. See if it kicks. Try it with the plug you have. Repeat with a new plug.
If you keep an eye out you will find a whole mower for parts for a good price. By that I mean under $50. They do command a bit of a premium. Its taken me a while to collect enough motors etc that I will have enough bits.
What I would dearly like if anyone has it is a PDF or link to an online Parts list for the motor. I have a mate that works at a Suzuki bike shop and he said if I can give the part number he should be able to get me bits.