Lots of restaurant and eating options but storage for luggage for 27 people? That might be difficult. Try contacting them directly:

The luggage storage is operated with the easy link card. I have not seen a coin operated one yet. Plenty of storage space for luggage. They are located in the rest room area.

Hi, the discount is up to 70% off. You can buy 2 and get an extra 10% discount, buy 4 for another 20% discount. It's pretty cheap here.

Hi ! Don’t worry about your luggage. There are many lockers big and small for your bags. You need a pre-paid card to operate the lockers. You can either get them at the Information Counter next to the Coach shop or u can get it at any 7-11 store. Just ask for pre-paid YuYu card. U can opt for the hello kitty limited edition card if u want. When u are tired of shopping u can go the third floor food court. Southeast Asian food is available. After shopping u can either take a taxi or airport train to taoyuan airport. Happy travel !

Yes

By car or by train, there is a station right there