I understand about not being able to afford a mechanic...
Then what you NEED to do,
is take WHATEVER PARTS YOU DO HAVE, buy the GENUINE rebuild kit, CAREFULLY look at the exploded diagram(s) of the carb from the manual, and figure out WHAT pieces you're missing..also CLEAN any build-up in the carb body...inside & out...
Like i said before, if you are missing ANY pieces, or pieces are STICKING, replace them...and dont try riding unless its done..You'll just make it worse...
A little word of advice, which I've already previously mentioned....
If your carb is MISSING A FILTER, GOD only knows what other critical or not-so-critical parts are missing from your ski...
I know you said you're looking over the manual little by little, but you NEED to give that ski a SOLID once-over, perhaps even twice-over...
And I know I said it helps to have a second set of eyes, but please, for your sake, and the sake of your ski, DONT let that second set of eyes be your friend who did your carb....
do your carb(s) over the right way, and I can almost guarantee that'll take care of your fuel problems..
But as others have mentioned, you also gotta look over all the other things too, like in-line filters, fuel selector valves, etc...
As far as your pic(s) with the oil lines, I can't tell... The manual will tell you all you need to know as far as what that is, where it connects to, etc...
ESPECIALLY since you don't have money for a mechanic...just make sure you inspect and look over everything, so no further damage is done the next time you go out riding...
These things and their parts can add up and get pretty pricey...
Good Luck !!!!! Let us know how it works out