My dog ate the edges of my i-797 APPROVALbut the letter is still legible ?

As long as the receipt is legible it should be sufficient for immigration purposes. You can contact USCIS to request a duplicate of this receipt as...

I am a Permanent Resident married to a US Citizen, what happens to my status if we live outside of the US for more than a year?

You should apply for a reentry permit to preserve your permanent residency along with others. Consult with an attorney for further guidance.

Can a two and a half years old child of LPR overstay the B2 visa while I130 form is pending?

The child can do so but will be considered out of status by the time the visa becomes available and will need to return to his/her country for the...

No likely a fee receipt will not be sufficient proof for most DMV. You should consult with your state DMV for evidence requirements.

I-485 pending ?

If more than 2 years has passed since the adjudication of the I485, you will receive your 10 year permanent residency.

You should consider consulting with and working with an attorney to resolve the processing delays as this delay is well outside of normal processing.

You would file only Form I130 and include your sisters family in the application. You would not file I485 as she is not in the country and you are...

Can I travel outside of the country now that I have my combo card?

More information is needed to answer your question as travel on advance parole can be risky if there was a period of unlawful presence prior to...

With an overstay, the answer is likely "Yes" and you should submit an explanation of this separately.

Green card filing benefits for Indian if wife is Bangaladeshi?

Yes the processing time will be reduced if not from India but Bangladesh.