For N600 Derived Citizenship, when is age 16 used and when is age 18 used for when your citizen parent had to have naturalized?

Federal law and not state law govern the rules of naturalization

Do you think I can qualify for white passport?

Canada recently updated its visa and passport travel requirements you might check the Canadian consulate website

Does any conviction at anytime cause ineligibility for derived citizenship N600?

a juvenile record would not prevent derivative citizenship

N600 Petition for someone who turned 18 in 1987.

you will only know by filing the N600 with the documentation cited

Time required to receive hard copy of h1b cos copy?

if you are asking how long it takes to receive the I-797 Approval notice after UCSIS approval it is usually 7-10 days by regular mail

Can my friend extend her L1 visa status through her company In the US without having to leave the US?

her employer may file an I-129 L-1 petition with request for extension of stay without her leaving the US

I forgot about immigration court a couple of yrs ago now they wont renew my green card what should I do? should I call ice?

you should call an immigration attorney experienced in going before the IJ and ICE

Timeframe to receive hard copy of h1b in premimum case.

hard copies follow 7-10 days from approval by snail mail the effective date can be the date approved or the date on the petition whichever is later

Can my cousin file my green card once he become citizen.

Unfortunately, your cousin is not a qualifying relative.

effective date is usually next day 3/19/2016