Welcome to the STD forum.
You have no HPV worries in this situation, for several reasons. First, getting genital HPV is normal; it happens to all sexually active people. You happen to know that this particular partner might have had an HPV problem, but most of the women you ever dated also had HPV at one time or another. Second, hysterectomy for cervical cancer removes most if not all the infected tissues. Third, if you catch it, you'll never know it and it will go away on its own. To the specific questions:
1) Probably little or no risk, even without condoms. Consistent condom use would lower the risk still further, even though condoms are only moderately effective in preventing HPV.
2) Oral HPV infection can be acquired by oral sex, but it rarely causes any health problem in the mouth, clears up on its own, and oral sex rarely is transmitted to other people.
3) Do you mean HSV, or is that a typo -- i.e., HPV? There is nothing about cervical cancer that suggests a higher risk that your partner has herpes, and if it's a typo, it duplicates the previous question.
The bottom line is that there is no signficant risk to your health or that of any future sex partners from this relationship.
Regards-- HHH, MD