Visiting UK

[Fabiana]

Hi.
I am Brazilian, living legally in Germany. My husband is Italian and I have a 5 year residence and work card that will expire in 2019.
I wanted to visit a friend in London for a week next month. She has British citizenship and would give me an invitation letter.
The problem is I already had my entrance denied there 3 times in the last 14 years. But at the time I was living in Brazil and had no visa.
Do you think I would have any problems now? I am working here and could provide the immigration officer a letter from my employer proving that.
Thank you very much for all the information you could give me!