Hair loss due to iron deficiency and oil gland underneath the scalp

You paid money to go to a hair clinic but doubt their treatment recommendation?If your hair loss is due to low iron levels, then it would be logical to correct the problem.If you are not sure and want a second opinion it is best to see a doctor for an examination.Otherwise it would be just guess work.

There is no such thing as hair loss from blocked pores and excess sebum. With a ferritin of 28 there is a small chance iron is relevant to your hair loss, but only a small chance. Many individuals with ferritin 25-40 don't have hair loss. In order to recommend treatment, a diagnosis is needed. And in order to give a diagnosis, we much follow the H.A.I.R. Principle meaning that you need a full medical history, along with a detailed scalp exam and possibly other investigations.  Minoxidil is absolutely not safe to use while conceiving. There is no  good evidence for carboxytherapy in the treatment of hair loss

You did not state if you were male or female and that knowledge is critical to any analysis of your situation. With a marginal ferritin level this might contribute to hair loss but your sebum production has nothing to do with hair loss. A good examination is critical to making any judgement of your hair loss situation.