Feature Selection – categorical target

In my current classification project, I have a categorical dependent column ("Yes"\"No"), and many independent columns, both categorical and numeric (continuous) columns.

During my feature selection test, using select k best, should I use a chi2 test as a function score only?

Should I divide the independent columns into two groups, numeric and categorical, for separate tests using different function scores?

And, regarding the dummies creation, I have a couple of numeric-categorical columns, such as job satisfaction (1 = "low",4 = "high"). should I determine those columns as categorical so it will be changed into dummies or leave it just as it is?

thanks a lot

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