Beware not to get too distraught, jaycee.
The table provided by “Law on the Web” is not particularly helpful as it provides only the statutory maximum penalties for each offence. Few people receive the maximum penalty for motoring offences (or indeed most other criminal offences). The most likely disposals for both the offences you describe are fixed penalties. These are £60 plus three points for the speeding and £60 with no points for the MoT offence. However, it is unlikely that, should a fixed penalty be processed for the speeding that enquiries will be made to establish if a valid MoT was in force or not.