a digital marketing analyst is not a seo expert
what is it that they want from you? is it really increasing organic traffic as you have mentioned or something else?
- increase website traffic?
- improve conversion rate?
- improve user journey on the site?
- improve user engagement?
- create new content?
have you guys documented your role and responsibilities?
if i was going to decide on extending full time employment to you, i would base it on you adding value, how well you work with others, and how well can articulate business problems, and come up with suggestions. the whole story telling is going make or break you.