Please find my inline answers in bold
1. There are chances that he may resend RCR petition notice again and hence I want to avoid receiving it and not accepting it. So if I am not at home and this notice comes back again then what could be the consequences??
Unless the respondent is served, the case won't proceed. He may get an order for pasting of the summons at your door, or may try to serve you Dasti i.e. by hand.
2. How many such times I can keep doing this. The reason being I want him to come to my city and fight for it and I don't want to travel so far to his residing city neither I have money to get it transferred through high court.
I don't think that it does take much amount to approach HC, being a lady you can avail free legal aid.
3. Secondly if I receive it then if I don't turn up in the court in his city then what could be the consequences and how many times I can do this??
The matter would be proceeded ex-parte. The court can proceed ex-parte even on first default of appearance.
4. What even after he receiving the notice he doesn't turn up in the court of my city?? how many times this can be done.Again consequences?
Read answer for your previous query
5. The current situation is he has filed the RCR petition well before I filed the divorce petition but I never received the court notice... but after i filed divorce petition he has received it. So if he keeps re-sending this notice again and again and I keep avoiding it then how long and where will the matter move in line and what could it lead to the worst case?
When both of you don't want to live with each other, why not sit across and agree for mutual consent divorce? Decide alimony etc and live life happily without each other.
6. Suppose he turns up into my city and then what happens to the RCR which he has filed in his city?
Both cases would run on its own merits
7. after how many times if the other party doesnt turn up in court then the court passes the verdict by expat.
It can be proceeded ex-parte on very first date. Verdict is a diffirent matter, and even in ex-parte proceeding there is no guarantee that you would get favorable verdict.
Regards,