The best thing you can do right now is join me in asking everyone who they suspect and why.
See, the reason day 1 always gets drawn out is because on the first day, mafia shouldn't be talking to one another, and therefore, are unable to formulate a plan. Questioning people resolves the mafia to stick with the theories they hold. It also helps in the sense that it becomes harder for them to fake an item claim down the line.
This helps to disrupt the mafia so that they can't really try anything funny later on. Especially if there are some noobs on the mafia team. A noob will usually try to wait out the day not saying much until they can group up later with a plan, and also so that they don't make townie enemies.
For that reason, mafia will tend to accuse one another on day 1.
A lot of mafia strategy involves getting players to their side. That is done by being on fellow mafia lynches on day 1, when seemingly they could have prevented it (see earlier), by not accusing to many townies, and in retrospect (on day 4 or 5), being able to say, "see, I went after X on day 1 and 2, and he was mafia (you can trust me)", etc. etc..
So, some kind of recap about day accusations and distrust would be good.
Please all players check in regarding your thoughts about the day so far.
Town, keep an eye out for people who don't check in.They're not definitely mafia, but they're a good lead to start with on day 2.