If the police had opted for the 'fixed penalty' way of dealing with you having no insurance, you'd get 6 points and a �200 fine. As Ethel has indicated, a court would normally endorse a licence with between 6 to 8 points but it's unlikely that they'd find any reason to go over the normal 6 points.
With regard to the fine, Ethel correctly states that the maximum is �5000 but the actual fines imposed are usually much lower. Our local weekly rag gives detailed court lists. Fines for no insurance, in the latest edition, are as follows: �250, �200, �200, �350, �250, �200, �100, �250 and �350. In each case, costs of between �30 and �60 (plus �15 to the victim compensation scheme) were added to the fine.
The only reported case of driving with a an illegal tyre, resulted in a �60 fine (plus �45 costs and �15 compensation) and an endorsement. This would be a 'CU30' endorsement, which means 3 points.
http://www.direct.gov.uk/en/Motoring/DriverLic ensing/EndorsementsAndDisqualifications/DG_100 22425
As other have indicated, you could be looking at a total of 12 points, and a subsequent disqualification. However, it's likely that either:
(a) you'll be charged with a single offence of driving with illegal tyres (resulting in a single CU30 3 point endorsement) ; or
(b) you'll be charged with two separate offences but the court will only penalise you for the first one (although with a higher fine) and rule 'no further punishment' on the second charge.
At a guess, I reckon that you're looking at a total of 9 points, plus a �250 fine for having no insurance, and a combined �150 fine for the two tyres, plus �60 costs and �15 compensation.
It would be best to engage the services of a solicitor before going to court. If you don't, ensur