Sunnats and aadaab of wudhu

Washing limbs more than three times during wudhu and water reaching the skin under the beard

Q: During wuzu, it is sunnat to wash the limbs of our body 3 times be it the face, hands or legs.

1. What if we feel that on 3 times we haven't fully wet the particular limb, can we then wash a particular limb more than 3 times? Will this invalidate the wudu or that just means we will leave the sunnat but wudu will be done?

2. As for cleaning the face during wuzu, is it necessary that water reaches in the gaps and the skin below the beard/moustache?

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)?