Yes you are eligible for HPV vaccine. But you have to undergo regular cervical cancer screening after 30 years of age.
You have to consult a gynae onco specialist and you need to undergo colposcopy and if required guided biopsy.
As your scan suggests a complex tumour, you must undergo thorough evaluation and specific investigations like tumour markers. I would like to recommend laparotomy in your case after proper evaluation.
As you are taking Tamoxifen tablet, you are at risk of endometrial pathologies ( benign or malignant). So you must consultant Gynae Onco Surgeon for proper evaluation and treatment.
Yes this could be possible in your case. But it depends upon your biopsy report ( type, grade) and imaging ( MRI) features.
You must undergo biopsy of these lesions and depending upon the biopsy report I can recommend the treatment.