Is it unusual for a service center to ask for additional information or evidence for a petition for a spouse filed April 8, 2013

No it's not uncommon. They will want additional evidence of a good faith marriage. Such evidence can include joint bank accounts, leases, insure,...

H1b applicants file for extension while waiting for GC and continue to stay and work in US. Is this case similar for L1B visa ?

Unfortunately you cannot extend an L1b past 5 years based on an approved I140 like an H1b. If you have been or will be outside USA by October 1 it...

I leave my job in April 2014. My l1a visa is valid till 2015. Do I get some min days before I need to leave USA?

You cannot renter just on an i94. Your status expires on the date you terminate your employment. You cannot stay until the date in your visa or i94...

Would I qualify under EB1C category?

We would need additional information. It is extremely difficult to qualify based on a functional manager but it will depend on what the company...

Filed I-130, should I send evidence with DS-230 re: prior arrest? Are we likely to be denied? Should we prepare I-601 waiver?

Yes you should provide certified copies of dismissal and charge sheet

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Regarding EAD and travel .

Generally it does matter. She should probably travel on the h visa as if your gc is denied before she returns then her advanced parole will not be...

Shoulder foreign documents be certified in the Country of Origin or in the USA?

Depends in the documents but generally for green cards based on marriage translations are cheaper in the hone country

Best and easiest path to citizenship for illegal immigrant husband married to us citizen?

Daca will not lead to a green card. You may be able to file for him with a provisional waiver. Discuss with an attorney

USCIS wants more documents for G. card removal of condition, joint case. I have problems with my hubby. should I send them?

If you do not send the documents your case will be denied.

You could possibly be removed if you are denied permanent residency. Consult with an attorney. I recommend Mathew Kolken in New York