Bad to get all those issues, but i doubt whether many BM stealers ever really do all the multi point checks they claim.
I bought an X5 in January for a considerable amount of cash - the list of problems is looooooong. Nothing major but deffo things a qualified mechanic/tech should pick up, including a flat tyre warning within 5 miles of the dealer & part bald tyre, like you, plus broken trim.
They will usually fix the problems, but it shouldnt really have to take a complaint. Presume it costs them less to claim under used car warranty, than to pay out of their profit on the 2nd hand sale.
Sorry... the main point of this post - the scorch marks on the intercooler
JCW badge - mine is exactly the same and had it after 3,000 miles. I believe it is where the inner rubber surround from the air scoop rubs, rather than heat.
The Himley show will be good opportunity the swap problems and fixes.
Cheers