Answer
Generally yes, they will rent to you.
in the uk, when picking up a hire car, you will be required to present both your plastic photo id section and the paper section which shows endorsements. if you have 9 points bloke
y car hire depots will refuse to hire to you so its always best to ask them. if you have 6 points you should be okay
if they were received for minor speeding offences.
the only exception is that if you have had a ban from driving in the past 10 years most major car hire companies will refuse to rent to you on the basis of the risk you present.