Will moving out of the US country into Canada and becoming a permanent resident of Canada hide my expundged criminal history?

Sorry but this is not a US immigration law question. Check with a Canadian employment or criminal law attorney.

How soon should I apply for F-2 to H-4 COS after my husband's H1B came in effect as of Oct 1? See details.

Your status should have changed to H4 upon his his approval if the initial filing included an I539. Did it not? If not you can apply now and...

I have a 1-130 and 1-129f pending for my wife. do i need a lawyer to speed up process?

Maybe an attorney would speed things up. It certainly would improve your chances of getting results.

Passport expired. Can I travel back home with my valid green card?

You can travel back to US with only valid greencard, however, issue is whether you will be able to enter your home country or a third country...

If your job description has changed and you are now an L1A, you should file for the change now. Check with your employers attorney.

Aside from engineering, what would you recommend I study in grad school in hope to later find work and get an H1B visa?

Too many to respond. Look at H1B requirements and check them against fields you are interested in.

Regarding I-130 form question #16 " has your relative even been under immigration proceeding", What does it mean?

The answer to Question 16 is NO unless there is more information we don't know.

Removal of conditional residence - divorced

You MAY be able to keep your greencard, but you DEFINITELY need a lawyer. Too complicated to even comment further on AVVO.

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COULD I GET A U-VISA IF MY UNCLE FILES A FOR A U-VISA FOR ME ?

You need to set up a consultation with a lawyer to find out what happened to that adjustment and to find out if you have another basis for...

Is H1B petition denial by USCIS considered as VISA denial in DS160 form?

on the DS-160 that question refers to visa denials, so the answer is NO.