Judging by the terrible English in the letter this was not written by a reputable (read = real) company.
Also no building company would offer £1,200 a week let alone medial insurance. Why would they do that when a British worker would do it for circa. £400 per week (reasonal wage for a driving job) with no need for medical insurance.
It is most certainly a scam.
As a side note a driver wouldn't be allowed near the vice president let alone meet him for a chat! Also the term "vice president" is not used in the UK in such companies, Managing Director would.
here we go, they do exist might do a search on Companies House to see who owns them
www.thamesidebuilders.co.uk/