Can i start my own company being an international citizen in the US

This will depend on what visa you are here on. In some cases you can only work for the sponsor of the visa.

Is it a double petition if I included my wife as my dependent on my EB3 visa application eventhough she has a pending I-140?

I am not sure what a "double petition" is but you can have multiple petitions. There is no issue with what you and your wife have filed.

Its been 3months that I apply for my 10 years green card form(I-751) and I have already did my finger-prints.

You should get a letter extending your PR in a month or and should get your green card within 4-5 months

I had my citizenship int rrview today.What kind of evidence i should send in ? I am a Canadian citizen.

They want to see that you have loved in the USA for the required period of time and did not abandon your permanent residency. Provide affidavits...

How do i know if there is anything pending under my name ?

If you have not been convicted you should be fine. You could always do a criminal background check.

How long does an immigration case take generally?

Depends on the case. Ask your lawyer where you are in the process

Immmigration

No you are out of status and you cannot get permanent residency through TPS

How long will it take for PERM approval ?? My h1b will max out (6 years) in September..

It will take about 8 months for approval of the labor cert if you are not audited. You can file the I140 by premium processing, get an approval 2...

G-325A question

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First you need to determine if you are subject to the 2 year home residency requirement. If so you will need a waiver. An H1b could be an option....