Country charge is determined by nationality (where you were born in this case). So, your wife is Indian and it is irrelevant that she spent time...

You are not permitted to work as an F2 visa holder.

What is the processing time from filing to obtaining permanent resident status for parents?

The wait time for your parents is about a year from the date of filing. Sure, you can have joint sponsors to satisfy the support requirements.

As I called to USCIS office to get an update on my application, they gave me an alphanumeric number. What is it for?

Sounds like the receipt number. If you do not receive an update within about 30 - 60 days, you should try InfoPass. Here is the link for...

Status adjustment, i 485 for an asylee

Your question is far too detailed for a quick answer here on AVVO. I suggest that you consult an immigration attorney to assist you and if you...

Are spouse and children of a permanent eligible to apply for citizenship after 3.5 years of obtaining permanent resident status?

They will have to wait 4 years and 9 months prior to filing. The actual wait time is 5 years, but you can file 90 days prior to the 5 year mark.

When can I remove the conditions? When is my 2 years starts? From the day I got married or when I got the green card?

Your relevant date is the date you actually became a conditional green card holder and NOT your marriage date or date you filed the petition, etc. ...

Re entry permit

Finger prints are the standard practice for back ground and security checks. Just standard procedure for visa applicants. It is not a sign ...

Received notice of finger prints while being in pending decision of I-589. Is it good or..

Sounds like your finger prints have become out of date / have become stale and they were just updating the file. That would be a "best guess"...

Wait times for Citizens vs LPR

Available numbers for each category are limited and then more LPRs become citizens and the cycle continues.