1) Yes you need to pay RCM @18% on such import of services. You can claim ITC on paid basis only.
2) ITC is shown and claimed in GSTR-3B only and not in GSTR-1. In GSTR-3B, only cumulative figure for the month is shown and not invoice wise. GSTR-1 only shows invoice level detail only and not expenses. Yes you can raise the invoice self but try to get some external document to support the expense under income tax. Document may be payment confirmation, PO confirmation etc.
Take phone consultation for detailed discussion.