Restaurant and café printing, made to work together.

Only if you are a covered establishment. Under 21 CFR 101.11 that means a restaurant or similar retail food establishment that is part of a chain with 20 or more locations doing business under the same name with substantially similar menu items. Those menus must show calories next to each standard item, adjacent to the name or price and no smaller than whichever of those is smaller, plus the statement that 2,000 calories a day is used for general nutrition advice, but calorie needs vary. Independent single locations are outside the rule, though state and local rules can differ.

Synthetic or fine grit, both of which are offered as water and tear resistant. Regular coated paper handles reading but not a spilled glass or a sanitizer wipe, and it curls once it gets damp. The practical split is to spend on the table menu that stays in the room every service and stays cheap on the takeout insert that leaves in a bag. If your servers wipe menus between covers, treat that as daily liquid exposure and specify accordingly.

It depends on whether you want a sleeve. Double wall cups have built in insulation and can be served on their own, which is fewer items on the counter. Single wall cups are designed to pair with a sleeve, which gives you a second branded surface and lets one sleeve design cover several cup sizes. If you want the sleeve as a brand moment, or you already print sleeves, single wall is the cheaper path to a holdable hot drink.

Work from the table, not the content. The 11 by 17 inch sheet suits a full dinner menu where you want courses visible at once, 8.5 by 11 inches is the all rounder that fits most tables without crowding the settings, and 3.75 by 8.25 inches is the drink list or insert that sits beside the main menu. Measure a set table with glassware in place before committing, because a menu that has nowhere to rest gets held in front of a face and read badly.