The part that makes me slightly nervous is being in the LTMA !.
I guess you mean flying
near the LTMA!!
Try and stay out of it - unless you are loaded and don't mind paperwork!
Seriously, speak to TF before you leave as required by the local rules.
For the last bit, give Farnborough LARS a call on 125.25.
Just check your route and the CAS thoroughly and it will be a doddle!