You have the right to remain silent.
Anything you say may be used against you in court.
Knowing that, why would you say anything at all? It amazes me how many people will just start yapping away trying to save their skin immediately after I tell them they don't have to talk to me.
They will not get in trouble for NOT talking to the police. They MIGHT get in trouble if they DO talk to the police.
Again, the police seem to have nothing in this case. They need the interviews to obtain their evidence. Don't make it easy for them.
No- you do not have to give the a name of an attorney. If someone is arrested THEN they can find out who is representing them. On the other hand, if you do retain an attorney then you can direct everything through that attorney and they will really have no reason to contact you. Personally, I wouldn't mind telling them to go fly a kite... I would wait until they decided to arrest me before I spend a dime on my defense.