The exhaust will be contactable so will require a radiused end, they use a cone to determine the plan of the body & it goes a long way under the boot panel of a Stratos replica due to the height of the bodywork.
Good news on having a V5 which tallies to the engine, double check that the engine number on the doc is the same as the one on the block, also make sure that you can read the number on the block easily & that it doesn't look to have been tampered with in any way. You will therefore be emissions tested on the age of the engine rather than having to meet a current emissions standard.
When you have passed the IVA test & gone through the rigmarole with the DVLA you should then be issued with a new V5 doc which has a previously unused registration from the year of the donor car.
Regards
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