You asked the same question nearly a year ago. What happened? Otherwise, if you have some cash to spend, post in the services category and someone can help you move your site to Hugo.
Yes, but you also might need some styling to achieve it.
Yes. Hugo has support for taxonomies (categories, tags, etc).
I don’t know what you mean by ‘plan’, but Hugo is free and open source. As suggested, maybe hiring someone to do the site for you can help.
I recommend you have a clear policy on tags usage. Having hundreds or thousands of tags is counter-productive and a headache to maintain them. You can batch delete tags in Hugo using a a code editor with search and replace (like VS code).
I suggest you try this theme and style it to your needs. It has an example of a podcast page in the showcase.