Meaning of amr bil maroof and inviting towards Islam

Q: I would like to inquire regarding the following:

1. Does the amr bil maroof abundantly mentioned in the Qur'an include inviting non Muslims towards Islam?

2. Which should be given preference/which is more important, inviting non Muslims towards Islam, or inviting Muslims to uphold the deen completely? Does one hold greater importance over the other or are both equal in importance?

3. If one carries out one out of the two above, will it be considered to be deficient for not carrying out the other?

Woman refusing marriage proposals because she feels she is not 'mentally ready'

Q: Can a Muslim woman of marriageable age refuse marriage proposals altogether from Muslim men of good deen and character without meeting them with the approval of her father who is seeking a good spouse for his daughter, or accepts to meet with them due to her father putting pressure on her to get married with the intention of refusing the proposal before meeting the male prospective and then following through to decline the proposal after meeting them because she feels she is not 'mentally ready' for the responsibilities of marriage, or she says that there aren't any 'good' boys left due to trauma surrounding the idea of marriage, after witnessing firsthand from a young age her elder brothers 3 very toxic, unislamic and abusive marriages that all ended in divorce?

According to Islam, are there any valid reasons for a female choosing not to get married or to get married at a later stage (when one is mentally ready etc.)

And if a female is to choose not to marry, how is she expected to live her life whilst under the care of her elderly parents? Is she expected to stay at home or can she go out and work to take care of herself etc.?

And what category (fardh, waajib, musthab, sunnah etc.) does marriage fall under and what category does choosing not to marry for the above reasons fall under for a Muslim female? And what category would refusing a good proposal fall under? (Makrooh, haraam etc.)

Also, what is the responsibility of the parents and especially the father in the above scenario? Is it correct for him to keep pressuring his daughter to accept proposals coming home before making a decision for marriage (Note: he isn't forcing her to get married to anyone specific but is encouraging her to get married and leaving the final decision to his daughter after bringing good proposals for her given her age and that he is elderly and concerned for her wellbeing should anything happen to him) or should he decline the marriage proposals until his daughter is ready despite his concerns for her future?

What advice would you give to the father and daughter in the above situation?

Doubts regarding the validity of wudhu when one has an oily face

Q: My face is oily. When I am performing wudhu, some of the oil of my face gets onto my hands. Do I have to rub my hands with water to ensure that water gets underneath the oil and reach my skin?

Do I have to rub any part of my body if the oil of my face gets onto them (for example my forearms, my feet)?

In that same logic, if oil from a part of my face (the left part for example) get onto or mixes with the oil of another part of my face (the right part for example) do I have to rub that area with water (the right part of my face)?