Anyway, I did want to address some of the oils you mentioned. I may have missed it, but I didn't notice anyone mentioning a couple of them.
Soybean oil has a shorter shelf life and can go rancid sooner than some of the other oils you listed, so many soapmakers discourage its use in soap, or recommend only a small percentage of the formula be soy oil. HOWEVER, soy wax (a soy product) is an alternative to hard oils that has a much longer shelf life, and when used in soap is often used at higher proportions. Of course, you don't list it, so probably can't use it. I made a single oil soap using soy bean oil, which developed DOS rather quickly (went rancid and smelled awful). In small amounts (low percentages) in soap, it didn't cause problems, but since I don't cook with soy oil, I did not see any reason to keep a bottle of this oil around just so I could use a little bit of it to make soap, especially since it has such a short shelf life and other oils brought more to the soap.
Mustard oil - I would not use this in soap, although I never have tried it; I expect it is expensive and has better uses.
Sesame oil - nice natural fragrance (in my opinion), lends darkness to the soap when used in a soap, more costly (in the US) than most commonly used soaping oils. I prefer it for cooking. I did once make a single oil soap with it but it's not a great oil for soapmaking; it works, but it doesn't bring anything to the soap that makes it worth the extra cost.
Peanut oil - another short shelf life oil that I don't like in soap. I did use it in tooth soap, because it was suggested it improves the taste of soap used for brushing the teeth. I don't know if that was true or not, as I never made it without including peanut oil. Anyway, I don't cook with peanut oil either, so did not like having a bottle hanging around to go rancid while I waited to use a little bit of it in soap.
I do and have used all the other oils you list, and recommend you try them all in different formulas to determine which you prefer to work with and to come to know which formula you prefer.
As far as fragrances, if you can look up the ones you already have on hand, and find information about them on the manufacturer's website, that might give you a better idea of if they are appropriate to use in lye soap. Fragrances sold for use in Melt & Pour soap are not often appropriate for use in Lye soap, because they are not made to withstand the chemical processes that happens when we mix oils and lye to create soap. MP soap doesn't go through that process after we get it and start melting it down, so it's not a concern.
Also, even in fragrances that are appropriate to use in lye soap, some groups or types tend to cause more acceleration of lye soap. For example: floral fragrances, and spicy fragrances tend to quicken trace, or cause ricing, or acceleration, and even seizing. Alcohol can cause seizing as well, so adding alcoholic beverages to soap requires special precautions. There are methods to deal with these situations when they happen, so I'll include a link for future reference:
How to Work with Misbehaving Fragrances | BrambleBerry