Hi

we have used up our eurail travel days. We need to get from Venice St Lucia to Rome Termini tomorrow with 2 adults, 1 senior and 2 kids (age 7-10). Should I get another eurail pass (Italy only) or trenitalia pass (kids travel free) to get on the Frecciarossa to Rome? We may also consider going to Pompeii. 
then we can use the pass for Rome city to Rome airport?