1. yes

2. the fact in issue of the case may the court will allowed.

yes for first and second question is not clear to me

1)Can the petitioner's advocate question or cross examine the respondent in the family court?

2)Can the Respondent himself or herself  question or cross examine the Petitioner?

yes - for both.

1)Can the petitioner's advocate question or cross examine the respondent in the family court?

Yes ... question is redundent

2)Can the Respondent himself or herself  question or cross examine the Petitioner?

Yes ... provided that respondent is the pro-se litigant without a lawyer ELSE NOT allowed

Also questions have to be in the context of exam in chief of opposite party and in the context of respondent's WS.

Do demand a copy of the the transcriptts of the exam in chief from court, affidavit copy submitted if not provided already.

Press for taking cross on the same day.

Write down what petitioner is answering in exam in chief and raise objections immediately at appropriate occassions if there is any malafide efforts by the petitioner's lawyer.