Identify any possible problems with the absolute grounds for refusal in the Trade Marks Act, making reference to relevant case law.

Any problems with possible registration of this as a trade mark, and therefore your focus is UK TRADE MARK LAW.
As part of this, you will need to:

Identify any possible problems with the absolute grounds for refusal in the Trade Marks Act, making reference to relevant case law.

Discuss these arch you conducted of the trademarks database,bearing in mind the advice in section

Identify any possible conflicts with other trade marks, and why you believe there is a conflict, in line with the categories in

You must support your discussion with reference to relevant case law.
Provide clear advice to your client regarding the registration ability of their trade mark.