All borrowings will be taken into account when re-financing in exactly the same way they are for a new mortgage, as what you are looking for is just that, a new mortgage.
So while you had headroom in the 3.5 LTI threshold, your repayments on this finance may push you towards the limit on affordability criteria. A good broker or the mortgage advisors at some of the main banks should be able to give you an indication in advance of applying.
I have been told by a few lenders in the past to clear car loans in advance of applying, as they will assume someone with outstanding car finance will typically buy a new car with finance one the current loan is payed off, thus having a pretty significant impact on their affordability calculations.