1. No, if at all they file any application seeking cancellation, notice will be served on you to express your objections and you will be heard before the court would take any decision in this regard.
2. In my opinion, there may not be any necessity to file a caveat petition before high court in this connection.
3. The summons sent by police under section 41(a) cr.p.c. is a formal one, the police, if predetermined, at the end of the session, if there is no bail obtained by you till then, may even arrest you after registering FIR.
4. The police cannot do anything about it, you may have to look for solution through trial proceedings for this.
5. There is no provision in law for that.
6. If the investigation officer is of the opinion that there is no crime established agaisnt her, he can remove her name.
7. It is to be taken up in the trial proceedings
8. You may have to approach high court seeking to quash the FIR and not any other legal forum.
9. No use, do not stretch your imagination to this extent, instead you can challenge the false case as per law