1) If my husband cancels the visa will I get the extension for 60 days if I request home office.
No you won't. There is a specific form he has to use to notify HO that the marriage has broken down. It is then up to HO to process this and curtail your visa. This process can take many months before you receive the curtailment letter.
2) if I move back to my country after I get the divorce notice from him here in UK.will he can continue with divorce and court grants it or will it be dissolved as I move back informing home office and I will not be available for court hearings due to visa issues
Don't confuse the visa curtailment with the divorce process. They are not the same and not related in any way. If your visa is cancelled and you are given a specific date by which you must leave the UK, you will have to leave regardless of where the divorce process is. If you do not leave by the date that HO will tell you to, you will be an overstayer and will have no right to work or use the NHS etc.
4) how long will it take to court to grant the divorce if I don't sign the divorce as I want to save the marriage
Not an immigration question at all. Suggest contact CAB for advice. A divorce can take many months.
5)will court considers any mediation or counselling to save the marriage if I request the judge in my appeal and will court asks go and live for 6 months toget her to give last chance and give a try
Yes, but again, this has nothing to do with immigration, which is what this forum is for.
6) if I come back I different visa after 6 monthz will court ask meto continue with court proceedings
The divorce does not simply stop progressing if you leave the UK. So don't be under any illusions that by leaving the UK nothing further will happen.
