Though we would love to help, applying for a trademark is a legal process. Unfortunately, Logojoy can not give legal advice about your logo design. For further information please read our Terms of Service.
However, we do not have an objection to you doing so if you want to work with an outside attorney familiar with the laws in your state or country!
Trademarking Websites by Country:
United Kingdom: https://www.gov.uk/topic/intellectual-property/trade-marks