Do I have to wait for another 5 years to re-apply for Naturalization second time?

No you may reapply at any time. Best to work with an attorney for this filing.

Does pending EAD replacement notice of action gives you ability to work in US without having the actual card?

More information is needed re: the basis for denial. Consult with an attorney for guidance.

What was the final disposition? Assuming no conviction, you would be able to renew your status.

No you must wait until you have a physical EAD in hand.

Provide a cover letter explaining the error and that the cosignor qualifies to act as such.

How I can change my status from an asylee to a permanent resident to use family based filing category?

Yes you son may apply for you based on the information provided. Best to consult with an attorney for guidance.

How can I get a scholarship to the U.S ?

You may obtain a scholarship to attend a university.

Can I use evidence of miscarriage to prove a real marriage to my husband?

Yes this may serve as evidence of good faith marriage.

Yes this is possible and adjustment of status may be possible as well.

I have received an letter from a team sport to join the national team. Can I use the letter to apply for expedite interview ?

Yes you may submit a request for expedited processing.