Hi Urmila,
for Point# 1
you can use t-code F-58 or FBZ5. However you will need a ABAP who can design a new form for you for Authorization piece. That form can be called in Output Control section.
However above mentioned only deals with the payment methods applicable in your country.
Otherwise you can try printing F.62
For Point# 2
You can use report S_ALR_87012332, you can print this report for required posting dates. You can configure the layout to have "Debit Amount in Local Currency" and "Credit Amount in Local Currency" added to the layout. You can save the layout with any name starting with "Z" letter. Any time you run this report you can select the layout or make the layout a default layout.
For Point# 3
Not sure if we have any report ready to capture receipts and payments for any account. I am sure you can do that for cash journal associated GL account by S_ALR_87012309.
See if this help you a little
Thanks
Naseem