So my husband passed away and 5 days before passing his brother wrote a Will making him executor and made him sign it.

Hire an attorney who would be willing to tie their attorney fees to the assets in the estate.

How do I get a letter of administration ?

Not sure what you are asking here. Did your husband pass? Is there a judgment where he was awarded money? Do you own any property? Suggest you...

You have up to 5 days before any scheduled hearing to respond.

How long would it take to hear default judgement (divorce) nowadays? I have a FRC originally scheduled in three months

Has a default been entered? If so, then would your spouse agree on division of all assets/debts and all other issues in stipulation? How long has...

All three attorney's are correct. Sorry about that.

That is impossible. The petition can be dismissed without prejudice.

Can I file both the proof of service and default if proof of service was served over 60 days ago but not filed with the court?

No you do not need to wait but you can't get the default accepted until after you file the proof of service.

Am I obligated to continue paying a mobile phone bill after Summons have been served?

If you had been doing this before the divorce was started, then yes.

Divorce on H-1b?

You can file here in California for a divorce. Your difficult task would be to complete service of process on her in India. You might need help...

My husband passed. I found out that his brother have his will. It's looks like brother wrote the text in handwriting and ?

Is Will valid? Probably not. You need to hire up with a probate attorney, now.