Unfortunately (some may say) you cannot be arrested for these offences. If court proceedings are held they are held �on summons� and you cannot be compelled to attend. Whilst magistrates can technically issue warrants for the arrest of any defendants they wish to see in court, in practice they would not do so for non-arrestable motoring offences.
Many motoring offences first come to court very close to the six month time limit which Grunty mentions. If you have been sent correspondence and it has been lost or deliberately diverted it will not alter the prosecution�s right to continue the process. They do not have to prove that the summons was served, nor are they likely to issue a second, personally served, summons.
If the case is listed and you do not attend it will be heard in your absence and you will almost certainly be convicted. Unless the court is considering disqualification (in which case they will adjourn the case and give you one further opportunity to attend) they will notify you of their sentence.
The danger is that you may well be disqualified for these offences (particularly the no insurance) and you will not know unless you receive the notification from the court. If people in your household are foolish enough to hide or destroy your correspondence, as you suspect they may have done, you could find yourself driving whilst disqualified.