Self employed. Reimbursed travel expenses count as taxable income / VAT threshold calcs?

I am self employed providing training and consulting services. I complete a Self-Assessment form. I am not registered VAT as I have not met the threshold. I have undertaken a project which required me to deliver training overseas. I booked and made the payment for the flights (on my personal card) and have invoiced the client for the full amount (100% reimbursed expenses - no profit margin on the expenses). A) should I include the cost of the flights in my taxable income calculation on my self-assessment form? B) are they considered an allowable expense as they were required to deliver the work overseas? C) do these expenses count towards the VAT registration threshold? Thank you

Hi,
As the flights were invoiced to your client, your client paid for the flights.  
This cost should be included in the gross profit and and expense claimed.  
Your gross profit will determine if you meet the threshold for registering for VAT.
Thank you.